AUTHOR INDEX, G-H-I G Gabai, Hyman Generalized Fibonacci k-Sequences, 8.1 (1970) 31 G Gabor, G. & Dawson, R., Nowakowski, R. & Wiens, D. Random Fibonacci-Type Sequences, 23.2 (1985) 169 Nowakowski, R., Dawson, R. & Wiens, D. Random Fibonacci-Type Sequences, 23.2 (1985) 169 Wiens, D., Dawson, R. & Nowakowski, R. Random Fibonacci-Type Sequences, 23.2 (1985) 169 Gajdosik, Johannes & Drmota, M. Parity of the Sum-of-Digits-Function of Generalized Zeckendorf Representations, The, 36.1 (1998) 3 Galambos, János Constructive Uniqueness Theorem on Representing Integers, A, 10.6 (1972) 569 Gale, Gene B. Factorization of 2 X 2 Integral Matrices with Determinant ±1, 6.1 (1968) 3; Errata, 6.5 (1968) 10 Gallinar, Jean-Pierre Fibonacci Ratio in a Thermodynamical Case, 17.3 (1979) 239 Fibonacci Ratio in a Thermodynamical Problem: A Combinatorial Approach, The, 24.3 (1986) 247 Galuzzi, Massimo Remark about the Binomial Transform, A, 36.3 (1998) 287 Gamkrelidze, N.G. On a Probablistic Property of the Fibonacci Sequence, 33.2 (1995) 147 Garcia, H. & Schaake, A.G. & Turner, J.C. Totient Functions on the Euler Number Tree, Proc V (1993) 585 Turner, J.C. & Schaake, A.G. Totient Functions on the Euler Number Tree, Proc V (1993) 585 Garcia, P.G. & Ligh, S. Generalization of Euler's -Function, A, 21.1 (1983) 26 Garfinkel, Robert S. & Selkow, S.M. On Some Conjectures of Gould on the Parities of the Binomial Coefficients, 19.1 (1981) 61 Gauthier, N. Derivation of a Formula for rkxr, 27.5 (1989) 402 Identities for a Class of Sums Involving Horadam's Generalized Numbers {Wn}, 36.4 (1998) 295 Gbur, Mary E. Generalization of a Problem of Stolarsky, A, 19.2 (1981) 117 Geldenhuys, G. On the Fibonacci Numbers Minus One, 19.5 (1981) 456; Errata, 20.2 (1982) 192 Gellar, Ralph Simultaneous Tribonacci Representations, MRFS (1980) 145 Gellar, Ralph & Silber, R. Algebra of Fibonacci Representations, The, 14.4 (1976) 289 Geller, Stephen P. Letter: Computer Investigation of a Property of the Fibonacci Sequence, A, 1.2 (1963) 84 Georghiou, Costas On Some Second-Order Linear Recurrences, 27.2 (1989) 156 Georghiou, Costas & Philippou, A.N. Convolution of the Fibonacci-Type Polynomials of Order K and the Negative Binomial Distributions of the Same Order, 27.3 (1989) 209 G Georghiou, Costas & Philippou, A.N. Harmonic Sums and the Zeta Function, 21.1 (1983) 29 Philippou, A.N. & Philippou, G.N. Fibonacci-Type Polynomials of Order K with Probability Applications, 23.2 (1985) 100 Philippou, G.N. Fibonacci-Type Polynomials and Pascal Triangles of Order k, Proc I (1986) 229 Philippou, G.N. & Philippou, A.N. Fibonacci-Type Polynomials of Order K with Probability Applications, 23.2 (1985) 100 Georgieva, N. Distribution of the Zeros of One Class of Polynomials, 13.4 (1975) 312 Gerdes, Walter Convergent Generalized Fibonacci Sequences, 15.2 (1977) 156 Generalized Tribonacci Numbers and their Convergent Sequences, 16.3 (1978) 269 Gessel, Ira Congruences for Bell and Tangent Numbers, 19.2 (1981) 137 Ghandi, J.M. & Taneja, V.S. Coefficients of (cosh x)/(cos x), The, 10.4 (1972) 349 Ghose, Suranjan & Bhattacharya, B.B., Sinha, B.P. & Srimani, P.K. Further Note on Pascal Graphs, A, 24.3 (1986) 251 Sinha, B.P., Bhattacharya, B.B. & Srimani, P.K. Further Note on Pascal Graphs, A, 24.3 (1986) 251 Srimani, P.K., Bhattacharya, B.B. & Sinha, B.P. Further Note on Pascal Graphs, A, 24.3 (1986) 251 Giambalvo, V. & Mines, R. & Pengelley, D.J. p-Adic Congruences between Binomial Coefficients, 29.2 (1991) 114 Pengelley, D.J. & Mines R. p-Adic Congruences between Binomial Coefficients, 29.2 (1991) 114 Gill, John & Miller, G. Newton's Method and Ratios of Fibonacci Numbers, 19.1 (1981) 1 Gillespie, Frank S. Generalization of Fermat's Little Theorem, A, 27.2 (1989) 109 Generalization of Kummer's Congruences and Related Results, 30.4 (1992) 349) Gillespie, Frank S. & Utz, W.R. Generalized Langford Problem, A, 4.2 (1966) 184 Gillman, Leonard Miscellanea, 30.2 (1992) 102 Giordano, Frank R. & Arkin, J., Arney, D.C., Bergum, G.E. & Kolb, R.A. Extension of an Old Classical Diophantine Problem, An, Proc V (1993) 45 Arkin, J., Arney, D.C. & Dewald, L.S. Supercube, Proc IV (1991) 17 Arkin, J., Arney, D.C. & Kolb, R.A. Note on Fundamental Properties of Recurring Series, A, Proc IV (1991) 33 Arney, D.C., Arkin, J., Bergum, G.E. & Kolb, R.A. Extension of an Old Classical Diophantine Problem, An, Proc V (1993) 45 Arney, D.C., Arkin, J. & Dewald, L.S. Supercube, Proc IV (1991) 17 Arney, D.C., Arkin, J. & Kolb, R.A. Note on Fundamental Properties of Recurring Series, A, Proc IV (1991) 33 Bergum, G.E., Arkin, J., Arney, D.C. & Kolb, R.A. Extension of an Old Classical Diophantine Problem, An, Proc V (1993) 45 G Giordano, Frank R. & Dewald, L.S., Arkin, J. & Arney, D.C. Supercube, Proc IV (1991) 17 Kolb, R.A., Arkin, J. & Arney, D.C. Note on Fundamental Properties of Recurring Series, A, Proc IV (1991) 33 Kolb, R.A., Arkin, J., Arney, D.C., Bergum, G.E. Extension of an Old Classical Diophantine Problem, An, Proc V (1993) 45 Giordano, George Note on Consecutive Prime Numbers, A, 32.4 (1994) 352 Girse, Robert D. Identities for Certain Partition Functions and their Differences, 19.4 (1981) 361 Note on Fibonacci Cubature, A, 21.2 (1983) 129 Gittenberger, Berhhard Dying Fibonacci Tree, The, Proc VII (1998) 145 Giuli, Christine & Giuli, R. Primer on Stern's Diatomic Sequence, A, Part I: 17.2 (1979) 103; Part II: 17.3 (1979) 246; Part III: 17.4 (1979) 318 Giuli, Robert M. Binet Forms by Laplace Transform, 9.1 (1971) 41 Linear Homogeneous Difference Equations, 10.3 (1972) 265 Giuli, Robert & Giuli, C. Primer on Stern's Diatomic Sequence, A, Part I: 17.2 (1979) 103; Part II: 17.3 (1979) 246; Part III: 17.4 (1979) 318 Gladwin, A. S. Expansion of the Fibonacci Numbers Fnm in the nth Powers of Fibonacci or Lucas Numbers, 16.3 (1978) 213 Glaser, Herbert & Schöffl, G. Ducci Sequences and Pascal's Triangle, 33.4 (1995) 313 Glasser, M.L. & Klamkin, M.S. On Some Inverse Tangent Summations, 14.5 (1976) 385 Glasson, Alan R. Remainder Formulas Involving Generalized Fibonacci and Lucas Polynomials, 33.3 (1995) 268 Glaze, Janet Waterman Angle Multisection by Parallel Straightedges, 8.4 (1970) 393 Gleijeses, B. Points at Mutual Integral Distances in Sn, 19.2 (1981) 153 Godsil, Christopher D. & Razen, R. Property of Fibonacci and Tribonacci Numbers, A, 21.1 (1983) 13 Goldstein, Kenneth L. & Hill, R.R. Non-Fibonacci Search Plan with Fibonacci-Like Results, A, 19.2 (1981) 131 Golic, Jovan Dj. On Decimation of Linear Recurring Sequences, 33.5 (1995) 407 Gomez-Calderon, Javier & Acosta-de-Orozco, M. T. Local Minimal Polynomials over Finite Fields, 34.2 (1996) 139 Good, I.J. Complex Fibonacci and Lucas Numbers, Continued Fractions, and the Square Root of the Golden Ratio, 31.1 (1993) 7 Erratum for "Complex Fibonacci and Lucas Numbers, Continued Fractions, and the Square Roots of the Golden Ratio", 31.3 (1993) 274 G Good, I.J. Number of Orderings of n Candidates when Ties Are Permitted, The, 13.1 (1975) 11 Reciprocal Series of Fibonacci Numbers, A, 12.4 (1974) 346 Skew Circulants and the Theory of Numbers, 24.1 (1986) 47; Addendum, An, 24.2 (1986) 176 Symmetry Property of Alternating Sums of Products of Reciprocals, A, 32.3 (1994) 284 Good, I.J. & Bruckman, P.S. Generalization of a Series of DeMorgan, with Applications of Fibonacci Type, A, 14.3 (1976) 193 Good, Robert C., Jr. Series Form for the Fibonacci Numbers F12n, A, 9.4 (1971) 405 Goodman, A.W. Entire Function that Gives the Fibonacci Numbers at the Integers, An, 24.2 (1986) 145 Goodwin, Norris Power Series and Cyclic Decimals, 12.4 (1974) 347 Gootherts, J.W. Linear Algebra Constructed from Fibonacci Sequences, A, Errata for, 7.1 (1969) 104 Part I: Fundamentals and Polynomial Interpretations, 6.5 (1968) 35 Part II: Function Sequences and Taylor Series of Function Sequences, 6.5 (1968) 44 Gougenheim, André About the Linear Sequence of Integers Such that Each Term Is the Sum of the Two Preceding, 9.3 (1971) 277 Gould, Henry W. Associativity and the Golden Section, 2.3 (1964) 203 Binomial Coefficients, The Bracket Function, and Compositions with Relatively Prime Summands, 2.4 (1964) 241; Errata, 4.1 (1966) 42 Bracket Function and Fontené-Ward Generalized Binomial Coefficients with Application to Fibonomial Coefficients, The, 7.1 (1969) 23 q-Binomial Coefficients, and Some New Stirling Number Formulas, The, 5.5 (1967) 401; Errata, 6.1 (1968) 59 Transform and Its Inverse, A, 32.2 (1994) 176 Case of the Strange Binomial Identities of Professor Moriarty, The, 10.4 (1972) 381; Errata, 10.6 (1972) 656 Design of the Four Binomial Identities: Moriarty Intervenes, The, 12.3 (1974) 300 Equal Products of Generalized Binomial Coefficients, 9.4 (1971) 337 Equivalence of Piza's Primality Criterion with that of Gould-Greig and its Dual Relationship to the Mann-Shanks Criterion, 27.4 (1989) 362 Evaluation of Sums of Convolved Powers Using Stirling and Eulerian Numbers, 16.6 (1978) 488 Extensions of the Hermite GCD Theorems for Binomial Coefficients, 33.5 (1995) 386 Fibonacci Crossword Puzzle, A, 4.1 (1966) 59; Solution, 4.2 (1966) 150 Fibonacci Exponentials and Generalizations of Hermite Polynomials, 1.4 (1963) 31 Fibonacci Formula of Lucas and its Subsequent Manifestations and Rediscoveries, A, 15.1 (1977) 25 Formal Proof of Equivalence of Two Solutions of the General Pascal Recurrence, 13.2 (1975) 127 Generalization of Hermite's Divisibility Theorems and the Mann-Shanks Primality Criterion for s-Fibonomial Arrays, 12.2 (1974) 157 Generating Functions for Products of Powers of Fibonacci Numbers, 1.2 (1963) 1; Errata, 2.1 (1964) 71 Girard-Waring Power Sum Formulas for Symmetric Functions and Fibonacci Sequences, 37.2 (1999) 135 G Gould, Henry W. History of the Fibonacci Q-Matrix and a Higher-Dimensional Problem, A, 19.3 (1981) 250 Letter: Formulas of Trumper, 14.2 (1976) 143 New Greatest Common Divisor Property of the Binomial Coefficients, A, 10.6 (1972) 579; Errata, 11.2 (1973) 168 New Primality Criterion of Mann and Shanks and its Relation to a Theorem of Hermite with Extension to Fibonomials, A, 10.4 (1972) 355; Errata, 10.6 (1972) 656 Non-Fibonacci Numbers, 3.3 (1965) 177 Note on a Combinatorial Identity in the Theory of Bi-Colored Graphs, 5.3 (1967) 247 Note on a Paper of Paul F. Byrd, and a Solution of Problem P-3, 6.6 (1968) 318 Operational Formulas for Unusual Fibonacci Series, 16.6 (1978) 555 Operational Recurrences Involving Fibonacci Numbers, 1.1 (1963) 30 Rearrangement of Series Based on a Partition of the Natural Numbers, A, 15.1 (1977) 67 Series Transformations for Finding Recurrences for Sequences, 28.2 (1990) 166 Some Combinatorial Identities of Bruckman - A Systematic Treatment with Relation to the Older Literature, 10.6 (1972) 613; Errata, 11.2 (1973) 168 Some Sequences Generated by Spiral Sieving Methods, 12.4 (1974) 393 Triangle with Integral Sides and Area, A, 11.1 (1973) 27; Errata, 11.3 (1973) 294 Variant of Pascal's Triangle, A, 3.4 (1965) 257; Errata, 4.1 (1966) 62 Gould, H.W. & Church, C.A., Jr. Lattice Point Solution of the Generalized Problem of Terquem and an Extension of Fibonacci Numbers, 5.1 (1967) 59 Greig, W.E. Lucas Triangle Primality Criterion Dual to that of Mann-Shanks, A, 23.1 (1985) 66 Hoggatt, V.E., Jr. & Kim, J.B. Sequences Associated with t-Ary Coding of Fibonacci's Rabbits, 15.4 (1977) 311 Kim, J.B. & Hoggatt, V.E., Jr. Sequences Associated with t-Ary Coding of Fibonacci's Rabbits, 15.4 (1977) 311 Govindaraju, R.K. & Deo, N. & Krishnamoorthy, M.S. Fibonacci Networks, 32.4 (1994) 329 Krishnamoorthy, M.S. & Deo, N. Fibonacci Networks, 32.4 (1994) 329 Grabner, Peter. J. & Kirschhenhofer, P., Prodinger, H. & Tichy, R.F. On the Moments of the Sum-of-Digits Function, Proc V (1993) 263 Nemes, I., Pethö, A. & Tichy, R.F. On the Least Significant Digit of Zeckendorf Expansions, 34.2 (1996) 147 Pethö, A., Nemes, I. & Tichy, R.F. On the Least Significant Digit of Zeckendorf Expansions, 34.2 (1996) 147 Prodinger, H. Fibonacci Killer, The, 32.5 (1994) 389 Prodinger, H., Kirschhenhofer, P. & Tichy, R.F. On the Moments of the Sum-of-Digits Function, Proc V (1993) 263 Tichy, R.F., Kirschhenhofer, P. & Prodinger, H. On the Moments of the Sum-of-Digits Function, Proc V (1993) 263 Tichy, R.F., Nemes, I. & Pethö, A. On the Least Significant Digit of Zeckendorf Expansions, 34.2 (1996) 147 Graham, R.L. Property of Fibonacci Numbers, A, 2.1 (1964) 1 Graham, R.L. & Erdös, P. On Sums of Fibonacci Numbers, 10.3 (1972) 249 On the Prime Factors of C(n,k), 14.4 (1976) 348 G Graham, S.W. Unitary Perfect Numbers with Squarefree Odd Part, 27.4 (1989) 317 Granville, Andrew On a Class of Determinants, 27.3 (1989) 253 Grassl, Richard M. Self-Generating Systems, 20.4 (1982) 299 Grassl, R.M. & Hillman, A.P. & Stroot, M.T. Fibonacci Numbers and Zigzag Hasse Diagrams, 1.3 (1963) 43; Errata, 2.2 (1964) 118 Stroot, M.T. & Hillman, A.P. Fibonacci Numbers and Zigzag Hasse Diagrams, 1.3 (1963) 43; Errata, 2.2 (1964) 118 Green, Thomas M. Linear Diophantine Equations with Non-Negative Parameters and Solutions, 6.2 (1968) 177 Greenbaum, Steven & Stolarsky, K.B. Ratio Associated with (x) = n, A, 23.3 (1985) 265 Greenwell, Raymond N. & Landman, B.M. Multiplicative Partitions of Bipartite Numbers, 29.3 (1991) 264 Greenwood, Robert E. Lattice Paths and Fibonacci Numbers, 2.1 (1964) 13 Gregory, M.B. & Metzger, J.M. Fibonacci Sine Sequences, 16.2 (1978) 119 Greig, W. Elliott Bode's Rule and Folded Sequences, 14.2 (1976) 129 Folded Sequences and Bode's Problem, 16.6 (1978) 530 On Fibonacci and Triangular Numbers, 15.2 (1977) 176 On Generalized Gj,k Numbers, 16.2 (1978) 166 On Sums of Fibonacci-Type Reciprocals, 15.4 (1977) 356 Reciprocal Period Law, The, 15.1 (1977) 17 Sums of Fibonacci Reciprocals, 15.1 (1977) 46 Greig, W.E. & Gould, H.W. Lucas Triangle Primality Criterion Dual to that of Mann-Shanks, A, 23.1 (1985) 66 Gridgeman, N.T. New Look at Fibonacci Generalization, A, 11.1 (1973) 40; Errata, 11.3 (1973) 301 Griffin, Peter Acceleration of the Sum of Fibonacci Reciprocals, 30.2 (1992) 179 Griffin, William Raymond Significance of Even-Oddness of a Prime's Penultimate Digit, 13.3 (1975) 204 Grimm, Richard E. Autobiography of Leonardo Pisano, The, 11.1 (1973) 99; Errata, 11.2 (1973) 162 Grimm, R E. & Dunton, M. Fibonacci on Egyptian Fractions, 4.4 (1966) 339 Grimson, R.C. Evaluation of Certain Arithmetic Sums, The, 12.4 (1974) 373 Grinstein, Louise S. Pythagorean Triangles and Multiple Angles, MRFS (1980) 39 Griswold, Ralph E. & Downey, P.J. On a Family of Nested Recurrences, 22.4 (1984) 310 Grossman, George W. Fractal Construction by Orthogonal Projection Using the Fibonacci Sequence, 35.3 (1997) 206 G Grossman, George W. & Narayan, S.K. On the Characteristic Polynomial of the j-th Order Fibonacci Sequence, Proc VIII (1999) 165 Grundman, H.G. Sequences of Consecutive n-Niven Numbers, 32.2 (1994) 174 Grytczuk, Aleksander & Bia ek, K. On Fermat's Equation, 29.1 (1991) 62 Grytczuk, K. Functional Recurrences, Proc III (1990) 115 Grytczuk, Krystyna & Grytczuk, A. Functional Recurrences, Proc III (1990) 115 Guaraldo, Rosalind On the Density of the Image sets of Certain Arithmetic Functions Part I: 16.4 (1978) 318; Part II: 16.5 (1978) 428; Part III: 16.6 (1978) 481 Guerin, E.E. Matrices and Convolutions of Arithmetic Functions, 16.4 (1978) 327 Partitions with "M(a) Copies of a", 28.4 (1990) 298 Guillot, Guy A. Problems, 15.3 (1977) 232 Unified Number Identity, The, 15.3 (1977) 254 Gupta, A. K. Generalized Hidden Hexagon Squares, 12.1 (1974) 45 Gupta, Hansraj Andrews Formula for Fibonacci Numbers, The, 16.6 (1978) 552 Direct Method of Obtaining Farey-Fibonacci Sequences, A, 14.5 (1976) 389 Rank-Vector of a Partition, The, 16.6 (1978) 548 Gutman, Ivan & Bodroza-Pantic, O. & Cyvin, S.J. Fibonacci Numbers and Algebraic Structure Count of Some Non-Benzenoid Conjugated Polymers, 35.1 (1997) 75 Cyvin, S.J. Result on 1-Factors Related to Fibonacci Numbers, A, 28.1 (1990) 81 Cyvin, S.J. & Bodroza-Pantic, O. Fibonacci Numbers and Algebraic Structure Count of Some Non-Benzenoid Conjugated Polymers, 35.1 (1997) 75 Guy, Richard & Austin, R. Binary Sequences without Isolated Ones, 16.1 (1978) 84 Moser, W.O.J. Numbers of Subsequences without Isolated Odd Numbers, 34.2 (1996) 152 Shanks, D. Constructed Solution of (n) = (n + 1), A, 12.3 (1974) 299 Guy, Robert Sums of Consecutive Integers, 20.1 (1982) 36 H Haase, Herman Hyperspaces and Fibonacci Numbers, 31.2 (1993) 158 Hagis, Peter, Jr. Analytic Proof of the Formula for Fn, An, 2.4 (1964) 267 Bi-Unitary Amicable and Multiperfect Numbers, 25.2 (1987) 144 Lower Bounds for Unitary Multiperfect Numbers, 22.2 (1984) 140 Odd Nonunitary Perfect Numbers, 28.1 (1990) 11 Systematic Search for Unitary Hyperperfect Numbers, A, 25.1 (1987) 6 H Hagis, Peter, Jr. & Lord, G. Letter: Unitary Harmonic Numbers, 22.4 (1984) 365 McDaniel, W.L. Some Results Concerning the Non-Existence of Odd Perfect Numbers of the Form p M2 , 13.1 (1975) 25 Suryanarayana, D. Theorem Concerning Odd Perfect Numbers, A, 8.4 (1970) 337 Hahn, Hwa S. Another Property of Magic Squares, 13.3 (1975) 205 Counting Function of Integral n-Tuples, A, 10.6 (1972) 609 Hahn, Sang Geun & Kim J.K. Note on Multiplicative Partitions of Bipartite Numbers, A, 33.3 (1995) 283 Halberg, Charles J. A. Generalized Fibonacci Operator, The, 6.5 (1968) 15 Hale, David R. Variant of Nim and a Function Defined by Fibonacci Representation, A, 21.2 (1983) 139 Halsey, Eric Fibonacci Number Fu where u Is Not an Integer, The, 3.2 (1965) 147 Letter: Restrictions on u in Fu, 3.3 (1965) 233 Halter-Koch, Franz Continued Fractions of Given Symmetric Period, 29.1 (1991) 298 Halton, John H. Note on Fibonacci Subsequences, A, 3.4 (1965) 321 On a General Fibonacci Identity, 3.1 (1965) 31; Errata 3.2 (1965) 160 On Fibonacci Residues, 2.3 (1964) 217 On the Divisibility Properties of Fibonacci Numbers, 4.3 (1966) 217 Some Properties Associated with Square Fibonacci Numbers, 5.4 (1967) 347 Hanani, Haim Combinatorial Identity, A, 14.1 (1976) 49 Hancock, Michael L. & Bateman, R.A., Clark, E.A. & Reiter, C.A. Period of Convergents Modulo M of Reduced Quadratic Irrationals, The, 29.3 (1991) 220 Clark, E.A., Bateman, R.A. & Reiter, C.A. Period of Convergents Modulo M of Reduced Quadratic Irrationals, The, 29.3 (1991) 220 Reiter, C.A., Bateman, R.A. & Clark, E.A. Period of Convergents Modulo M of Reduced Quadratic Irrationals, The, 29.3 (1991) 220 Hansell, Walter & Hoggatt, V.E., Jr. Hidden Hexagon Squares, The, 9.2 (1971) 120 Hansen, Rodney T. Arithmetic of Pentagonal Numbers, 8.1 (1970) 83 Exponential Generation of Basic Linear Identities, MRFS (1980) 61 General Identities for Linear Fibonacci and Lucas Summations, 16.2 (1978) 121; Generating Identities for Fibonacci and Lucas Triples, 10.6 (1972) 571 Harary, Frank & Mowshowitz, A. Enumeration of End-Labeled Trees, 13.3 (1975) 252 Harborth, Heiko b-Adic Numbers in Pascal's Triangle Modulo b, 16.6 (1978) 497 Concentric Circles in Mosaic Graphs, Proc III (1990) 123 Fermat-Like Binomial Equations, Proc II (1988) 1 H Harborth, Heiko Problems on Fibonacci and B-Adic Tree Representations by Regular K-Gons, Proc V (1993) 273 Harborth, Heiko & Jäger, S. Fibonacci and B-Adic Trees in Mosaic Graphs, Proc IV (1991) 127 Kemnitz, A. Fibonacci Representations of Graphs, Proc IV (1991) 133 Fibonacci Triangles, Proc III (1990) 129 Lohmann, Sabine Mosaic Numbers of Fibonacci Trees, Proc III (1990) 133 Maasberg, S. Rado Numbers of Fibonacci Sequences and a Problem of S. Rabinowitz, Proc VI (1996) 143 MÖller, M. Smallest Integral Combinatorial Box, Proc VII (1998) 153 Piepmeyer, L. Rooks on Fibonacci Boards, Proc VI (1996) 155 Two-Distance Sets and the Golden Ratio, Proc V (1993) 279 Hardy, G.E. & Aiello, W. & Subbarao, M.V. On the Existence of e-Multiperfect Numbers, 25.1 (1987) 65 Subbarao, M.V. & Aiello, W. On the Existence of e-Multiperfect Numbers, 25.1 (1987) 65 Hare, E.O. Fibonacci Numbers and Fractional Domination of Pm x Pn, 32.1 (1994) 69 Hare, Eleanor & Chinn, P. Tiling with Cuisenaire Rods, Proc VI (1996) 165 Harman, C.J. Complex Fibonacci Numbers, 19.1 (1981) 82 Harminc, Matúš & Soták, R. Palindromic Numbers in Arithmetic Progressions, 36.3 (1998) 259 Harris, V. C. Algorithm for Finding the Greatest Common Divisor, An, 8.1 (1970) 102 Note on the Number of Divisions Required in Finding the Greatest Common Divisor, 8.1 (1970) 104 On Daykin's Algorithm for Finding the GCD, 12.1 (1974) 80 On Identities Involving Fibonacci Numbers, 3.3 (1965) 214 Harris, V.C. & Styles, C.C. Generalization of Fibonacci Numbers, A, 2.4 (1964) 277; Errata, 3.1 (1965) 66 Generalized Fibonacci Sequences Associated with a Generalized Pascal Triangle, 4.3 (1966) 241 Hart, Evelyn L. On Using Patterns In Beta-Expansions to Study Fibonacci-Lucas Products, 36.5 (1998) 396 Hart, Evelyn L. & Filipponi, P. Zeckendorf Decomposition of Certain Fibonacci-Lucas Products, The, 36.3 (1998) 240 Sanchis, L. On the Occurrence of Fn in the Zeckendorf Decomposition of nFn, 37.1 (1999) 21 Hasse, Helmut & Bernstein, L. Explicit Determination of the Perron Matrices in Periodic Algorithms of the Perron- Jacobi Type with Application to Generalized Fibonacci Numbers with Time Impulses, 7.4 (1969) 394 H Hassin, Rafael On Maximizing Functions by Fibonacci Search, 19.4 (1981) 347 Haukkanen, Pentti Formal Power Series for Binomial Sums of Sequences of Numbers, 31.1 (1993) 28 Note on Rational Arithmetic Functions of Order (2,1), A, 31.4 (1993) 302 Note on Specially Multiplicative Arithmetic Functions, A, 26.4 (1988) 325 Note on the Bracket Function Transform, A, 35.2 (1997) 156 On a Binomial Sum for the Fibonacci and Related Numbers, 34.4 (1996) 326 On a Recurrence Relation in Two Variables, 35.1 (1997) 32 Roots of Sequences Under Convolutions, 32.4 (1994) 369 Vinogradov's Inversion Theorem for Generalized Arithmetical Functions, 27.4 (1990) 316 Haukkanen, Pentti & Rutkowski, J. On Generating Functions for Powers of Recurrence Sequences, 29.4 (1991) 329 Hauss, Michael Fibonacci, Lucas and Central Factorial Numbers, and , 32.5 (1994) 395 Hayashi, E.K. & Howard, F.T. Congruences for Numbers of Ramanujan, 27.1 (1989) 61 Hayashi, Masahumi & Ando, S. Counting the Number of Equivalence Classes of (m,F) Sequences and their Generalizations, 35.1 (1997) 3 He, M.X. & Ricci, P.E. & Simon, D. Dynamics of the Zeros of Fibonacci Polynomials, 35.2 (1997) 160 Simon, D. & Ricci, P.E. Dynamics of the Zeros of Fibonacci Polynomials, 35.2 (1997) 160 He, Mingfeng & Wang, Y. & Yu, H. On the Limit of Generalized Golden Numbers, 34.4 (1996) 320 Yu, H. & Wang, Y. On the Limit of Generalized Golden Numbers, 34.4 (1996) 320 Hedian, Helene Golden Section and the Artist, The 14.5 (1976) 406 Heed, Joseph, J. Wieferichs and the Problem z(p²) = z(p), 22.2 (1984) 116 Heed, Joseph, J. & Kelly, L.A. Entry Points of the Fibonacci Sequence and the Euler Function, 16.1 (1978) 47 Interesting Sequence of Fibonacci Sequence Generators, An, 13.1 (1975) 29 Heggie, P.M. & Campbell, C.M., Robertson, E.F. & Thomas, R.M. One-Relator Products of Cyclic Groups and Fibonacci-Like Sequences, Proc IV (1991) 63 Robertson, E.F., Campbell, C.M. & Thomas, R.M. One-Relator Products of Cyclic Groups and Fibonacci-Like Sequences, Proc IV (1991) 63 Thomas, R.M., Campbell, C.M. & Robertson, E.F. One-Relator Products of Cyclic Groups and Fibonacci-Like Sequences, Proc IV (1991) 63 Heichelheim, Peter Study of Positive Integers (a,b) Such that ab + 1 is a Square, The, 17.3 (1979) 269 Heimer, Richard L. Further Comments on the Periodicity of the Digits of the Fibonacci Sequence, 2.3 (1964) 211 General Fibonacci Function, A, 5.5 (1967) 481 H Heinrich, Katherine & Alspach, B. Perfect Magic Cubes of Order 4m, 19.2 (1981) 97 Hemenway, Paul D. Clary, S. On Sums of Cubes of Fibonacci Numbers, Proc V (1993) 123 Hendel, Russell Jay Fibonacci Problem Classification Scheme Useful to Undergraduate Pedagogy, A, Proc V (1993) 289 Hofstadter's Conjecture for 2 - 1, Proc VI (1996) 173 Hendel, Russell Jay & Cook, C.K. Recursive Properties of Trigonometric Products, Proc VI (1996) 201 Lemke, P., Luchins, E.D. & Tuller, D. Linear Recurrences in Difference Triangles, 33.5 (1995) 441 Luchins, E.D., Lemke, P. & Tuller, D. Linear Recurrences in Difference Triangles, 33.5 (1995) 441 Monteferrante, S.A. Hofstadter's Extraction Conjecture, 32.2 (1994) 98 Tuller, D., Lemke, P. & Luchins, E.D. Linear Recurrences in Difference Triangles, 33.5 (1995) 441 Hendy, M.D. Stolarsky's Distribution of the Positive Integers, 16.1 (1978) 70 Henning, H.B. Pythagorean Triangles and Related Concepts, 5.2 (1967) 185 Hensley, Douglas Eulerian Numbers and the Unit Cube, 20.4 (1982) 344 Fibonacci Tiling and Hyperbolas, 16.1 (1978) 37 Winning Strategy at Taxman, A, 26.3 (1988) 262 Henze Norbert Distribution of Spaces on Lottery Tickets, The, 33.5 (1995) 426 Herda, Hans Series of Prime Square Reciprocals, The, 23.4 (1985) 364 Tiling the Plane with Incongruent Regular Polygons, 19.5 (1981) 437 Herget, Wilfried Minimum Periods Modulo n for Bernoulli Numbers, Part I: 16.6 (1978) 544; Part II: 20.2 (1982) 106 Herrick, Daniel Lance On the Periodicity of the Terminal Digits in the Fibonacci Sequence, 11.5 (1973) 535 Herz-Fischler, R. Letter: Fibonacci Sequence and Division in Extreme and Mean Ratio, and Some Historical References, 24.4 (1986) 382 Heuer, Gerald A. & Leopold-Wildburger, U. Fibonacci-Type Sequences and Minimal Solutions of Discrete Silverman Games, 32.1 (1994) 22 Hewgill, Denton Relationship between Pascal's Triangle and Fermat's Numbers, A, 15.2 (1977) 183 Hickerson, Dean R. Identities Relating the Number of Partitions into an Even and Odd Number of Parts, II, 16.1 (1978) 5 Identity Relating Compositions and Partitions, An, 16.1 (1978) 23 Recursion-Type Formulas for Partitions into Distinct Parts, 11.3 (1973) 307 Higginbotham, T.F. & Spears, W.D. On Powers of the Golden Ratio, 15.3 (1977) 207 Higgins, John C. Subsemigroups of the Additive Positive Integers, 10.3 (1972) 225 H Higgins, Peter M. Naming of Popes and a Fibonacci Sequence in Two Noncommuting Indeterminates, The, 25.1 (1987) 57 Higgins, Rada More in the Theory of Sequences, 17.3 (1979) 193 Hilano, Teluhiko & Ando. S. Disjoint Covering of the Set of Natural Numbers Consisting of Sequences Defined by a Recurrence Whose Characteristic Equation Has a Pisot Number Root, A, 33.4 (1995) 363 Hildebrandt, Thomas H. Letter: Note on "Representing C(2n,n) as a Sum of Squares", 25.3 (1987) 240 Hill, Robert R. & Goldstein, K.L. Non-Fibonacci Search Plan with Fibonacci-Like Results, A, 19.2 (1981) 131 Hilliker, David Lee On the Infinite Multinomial Expansion, Part I: 14.3 (1976) 203; Part II: 14.5 (1976) 392 On the Multinomial Theorem, 15.1 (1977) 22 Hillman, A.P. Proportional Allocation in Integers, 19.3 (1981) 233 Hillman, A.P. & Alexanderson, G.L. Motivation for Continued Fractions, A, 2.2 (1964) 145 Grassl, R.M. & Stroot, M.T. Fibonacci Numbers and Zigzag Hasse Diagrams, 1.3 (1963) 43; Errata, 2.2 (1964) 118 Hoggatt, V.E., Jr. Characteristic Polynomial of the Generalized Shift Matrix, The, 3.2 (1965) 91 Nearly Linear Functions, 17.1 (1979) 84; Errata, 17.2 (1979) 188 Proof of Gould's Pascal Hexagon Conjecture, A, 10.6 (1972) 565 Property of Wythoff Pairs, A, 16.5 (1978) 472 Recursive, Spectral, and Self-Generating Sequences, 18.2 (1980) 97 Mana, P.L. & McAbee, C.T. Symmetric Substitute for Stirling Numbers, A, 9.1 (1971) 51 McAbee, C.T. & Mana, P.L. Symmetric Substitute for Stirling Numbers, A, 9.1 (1971) 51 Stroot, M.T. & Grassl, R.M. Fibonacci Numbers and Zigzag Hasse Diagrams, 1.3 (1963) 43; Errata, 2.2 (1964) 118 Hilton, A.J.W. On Fern's Theorem on the Expansion of Fibonacci and Lucas Numbers, 12.3 (1974) 231 On the Partition of Horadam's Generalized Sequences into Generalized Fibonacci and Generalized Lucas Sequences, 12.4 (1974) 339 Spanning Trees and Fibonacci and Lucas Numbers, 12.3 (1974) 259 Hilton, A.J.W. & Daykin, D.E. Bases for Infinite Intervals of Integers, 5.4 (1967) 329 Bases for Intervals of Real Numbers, 6.6 (1968) 335 Hilton, Peter & Pedersen, J. Note on a Geometrical Property of Fibonacci Numbers, A, 32.5 (1994) 386 Pedersen, J. & Somer, L. On Lucasian Numbers, 35.1 (1997) 43 Pedersen, J. & Vrancken, L. On Certain Arithmetic Properties of Fibonacci and Lucas Numbers, 33.3 (1995) 211 Somer, L. & Pedersen, J. On Lucasian Numbers, 35.1 (1997) 43 Hindin, Harvey J. Alternate Representation for Césaro's Fibonacci-Lucas Identity, An, 18.3 (1980) 259 H Hindin, Harvey J. Figurate Number Curiosity: Every Integer Is a Quadratic Function of a Figurate Number, A, 16.6 (1978) 561 Phi Again: A Relationship between the Golden Ratio and the Limit of a Ratio of Modified Bessel Functions, 15.2 (1977) 112 Theorem Concerning Heptagonal Numbers, A, 18.3 (1980) 258 Hines, Jerome Theory of Extra Numerical Information Applied to the Fibonacci Sum, MRFS (1980) 22 Hinson, Edward K. On the Distribution of Pythagorean Triples, 30.4 (1992) 335 Hirano, Katuomi Some Properties of the Distributions of Order k, Proc I (1986) 43 Hirose, Shoichi On Some Polygonal Numbers which Are, at the Same Time, the Sums, Differences, and Products of Two Other Polygonal Numbers, 24.2 (1986) 99 Hirschhorn, Michael D. Andrews Formula for Fibonacci Numbers, The 19.4 (1981) 373 Hitotumatu, Sin & Sato, Daihachiro Star of David Theorem (I), 13.1 (1975) 70 Hlebarska, J. & Atanassov, K. & Mihov, S. Recurrent Formulas of the Generalized Fibonacci and Tribonacci Sequences, 30.1 (1992) 77 Mihov, S. & Atanassov, K. Recurrent Formulas of the Generalized Fibonacci and Tribonacci Sequences, 30.1 (1992) 77 Ho, Chung-wu & Nagasaka, K. & Shiue, J.S. Fast Algorithm of the Chinese Remainder Theorem and Its Application to Fibonacci Numbers, A, Proc IV (1991) 241 Parish, J.L. & Shiue, J.S. On the Sizes of Elements in the Complement of a Submonoid of Integers, Proc IV (1991) 139 Shiue, J.S. & Nagasaka, K. Fast Algorithm of the Chinese Remainder Theorem and Its Application to Fibonacci Numbers, A, Proc IV (1991) 241 Shiue, J.S. & Parish, J.L. On the Sizes of Elements in the Complement of a Submonoid of Integers, Proc IV (1991) 139 Hochberg, Murray Conjecture in Game Theory, A, 17.3 (1979) 250 On the Set of Divisors of a Number, 12.4 (1974) 363 Hochwald Scott, H. & Tong, J. On the Reciprocals of the Fibonacci Numbers, 31.3 (1993) 246 Hock, J.L. & McQuistan, R.B. Occupational Degeneracy for -Bell Particles on a Saturated x N Lattice Space, The, 21.3 1983) 196 Hodel, M.J. Combinatorial Interpretation of an Analog of Generalized Binomial Coefficients, 12.4 (1974) 360 Hodel, Margaret & Carlitz, L. Corrigendum to: Enumeration of Two-Line Arrays, 12.3 (1974) 266 H Hodgson, Bernard R. On Some Number Sequences Related to the Parity of Binomial Coefficients, 30.1 (1992) 35 Hodgson, Bernard R. & Cassidy, C. On Some Properties of Fibonacci Diagonals in Pascal's Triangle, 32.2 (1994) 145 Höft, Hartmut & Höft, M. Fibonacci Sequence of Distributive Lattices, A, 23.3 (1985) 232 Order-Theoretic Representation of the Polygonal Numbers, An, 22.4 (1984) 318 Höft, Margret & Höft, H. Fibonacci Sequence of Distributive Lattices, A, 23.3 (1985) 232 Order-Theoretic Representation of the Polygonal Numbers, An, 22.4 (1984) 318 Hoggatt, Verner E., Jr. Additive Partitions, Part I: 15.2 (1977) 166; Part II: 15.2 (1977) 182 Additive Partitions of the Positive Integers, 18.3 (1980) 220 Application of the Lucas Triangle, An, 8.4 (1970) 360 Combinatorial Problems for Generalized Fibonacci Numbers, 8.5 (1970) 456; Errata, 9.1 (1971) 81 Convolution Triangles for Generalized Fibonacci Numbers, 8.2 (1970) 158 Fibonacci Numbers and Generalized Binomial Coefficients, 5.4 (1967) 383 Fibonacci Numbers from a Differential Equation, 2.3 (1964) 176 Generalized Fibonacci Numbers in Pascal's Pyramid, 10.3 (1972) 271 Generalized Rabbits for Generalized Fibonacci Numbers, 6.3 (1968) 105 Generalized Zeckendorf Theorem, 10.1 (1972) 89 New Angle on Pascal's Triangle, A, 6.4 (1968) 221 Note on the Summation of Squares, A, 15.4 (1977) 367 Origin of the Q-Matrix, 6.3 (1968) 85 Response [to Ode to Pascal's Triangle], 14.5 (1976) 455 Some More Fibonacci Diophantine Equations, 9.4 (1971) 437 Some Special Fibonacci and Lucas Generating Functions, 9.2 (1971) 121 Hoggatt, Verner E., Jr. & Alexanderson, G.L. Property of Multinomial Coefficients, A, 9.4 (1971) 351 Sums of Partition Sets in Generalized Pascal Triangles I, 14.2 (1976) 117 Alladi, K. Compositions and Recurrence Relations Part I: Compositions with Ones and Twos, 13.3 (1975) 233 Part II: 15.3 (1977) 239 Compositions with Ones and Twos, 13.3 (1975) 233 Generalized Fibonacci Tiling, 13.2 (1975) 137 In-Winding Spirals, 14.2 (1976) 144 Limiting Ratios of Convolved Recursive Sequences, 15.3 (1977) 211 On Tribonacci Numbers and Related Functions, 15.1 (1977) 42 Anaya, J.C. Primer for the Fibonacci Numbers, A, Part XI: Multisection Generating Functions for the Columns of Pascal's Triangle, 11.1 (1973) 85 Arkin, J. Extension of the Fibonacci Numbers (Part II), An, 8.2 (1970) 199 Generalized Fibonacci Number and its Relation to Wilson's Theorem, The, 13.2 (1975) 107 Arkin, J. & Straus, E.G. On Euler's Solution to a Problem of Diophantus, Part I: 17.4 (1979) 333; Part II: 18.2 (1980) 170 Basin, S.L. Primer on the Fibonacci Sequence, A, Part I: 1.1 (1963) 65; Part II: 1.2 (1963) 61; Errata, 2.1 (1964) 66 H Hoggatt, Verner E., Jr. & Basin, S.L. Representations by Complete Sequences, Part I (Fibonacci), 1.3 (1963) 1 Bergum, G.E. Application of the Characteristic of the Generalized Fibonacci Sequence, An, 15.3 (1977) 215 Combinatorial Problem Involving Recursive Sequences and Tridiagonal Matrices, A, 16.2 (1978) 113 Divisibility and Congruence Relations, 12.2 (1974) 189 Family of Tridiagonal Matrices, A, 16.3 (1978) 285 Generalized Convolution Arrays, 13.3 (1975) 193 Infinite Series with Fibonacci and Lucas Polynomials, 17.2 (1979) 147 Irreducibility of Lucas and Generalized Lucas Polynomials, 12.1 (1974) 95 Limits of Quotients for the Convolved Fibonacci Sequence and Related Sequences, 15.2 (1977) 113 Numerator Polynomial Coefficient Array for the Convolved Fibonacci Sequence, 14.1 (1976) 43 Problem of Fermat and the Fibonacci Sequence, A, 15.4 (1977) 323 Some Extensions of Wythoff Pair Sequences, 18.1 (1980) 28 Sums and Products for Recurring sequences, 13.2 (1975) 115 Bergum, G.E. & Wagner, W.J. Chebyshev Polynomials and Related Sequences, 13.1 (1975) 19 Bicknell, M. (Bicknell-Johnson, M.) Additive Partitions of the Positive Integers and Generalized Fibonacci Representations, 22.1 (1984) 2 Catalan and Related Sequences Arising from Inverses of Pascal's Triangle Matrices, 14.5 (1976) 395 Collection of Manuscripts Related to The Fibonacci Sequence, A, [18th Anniversary Volume, edited & prefaced by], MRFS (1980) iii Composites and Primes among Powers of Fibonacci Numbers, Increased or Decreased by One, 15.1 (1977) 2 Composition Arrays Generated by Fibonacci Numbers, 20.2 (1982) 122 Convolution Arrays for Jacobsthal and Fibonacci Polynomials, 16.5 (1978) 385 Convolution Triangles, 10.6 (1972) 599 Diagonal Sums of Generalized Pascal Triangles, 7.4 (1969) 341; Errata, 8.1 (1970) 87 Diagonal Sums of the Trinomial Triangle, 12.1 (1974) 47 Divisibility by Fibonacci and Lucas Squares, 15.1 (1977) 3 Divisibility Properties of Polynomials in Pascal's Triangle, 16.6 (1978) 501 Fibonacci Convolution Sequences, 15.2 (1977) 117 Fibonacci Matrices and Lambda Functions, 1.2 (1963) 47; Errata, 2.1 (1964) 65 Fourth Power Fibonacci Identities from Pascal's Triangle, 2.4 (1964) 261 Fun with Fibonacci at the Chess Match, 10.4 (1972) 433 Generalized Fibonacci Polynomials, 11.5 (1973) 457 Generalized Fibonacci Polynomials and Zeckendorf's Theorem, 11.4 (1973) 399 Generalized Lucas Sequences, 15.2 (1977) 131 Golden Triangles, Rectangles, and Cuboids, 7.1 (1969) 73 Lexicographic Ordering and Fibonacci Representations, 20.3 (1982) 193 Matrix Generation of Fibonacci Identities for F2nk, A, MRFS (1980) 114 Multisection of the Fibonacci Convolution Array and Generalized Lucas Sequence, 18.1 (1980) 51 Numerator Polynomial Coefficient Arrays for Catalan and Related Sequence Convolution Triangles, 15.1 (1977) 30 Palindromic Compositions, 13.4 (1975) 350 Pascal, Catalan, and General Sequence Convolution Arrays in a Matrix, 14.2 (1976) 135 Primer for the Fibonacci Numbers, A Part IX: 9.5 (1971) 529 H Hoggatt, Verner E., Jr. & Bicknell, M. (Bicknell-Johnson, M.) Primer for the Fibonacci Numbers, A Part XIV: 12.2 (1974) 147 Part XV: Variations on Summing a Series of Reciprocals of Fibonacci Numbers, 14.3 (1976) 272 Part XVII: Generalized Fibonacci Numbers Satisifying un+1un-1 - (un)² = ±1, 16.2 (1978) 130 Properties of Generating Functions of a Convolution Array, 16.4 (1978) 289 Reciprocal Series of Fibonacci Numbers with Subscripts 2nk, A, 14.5 (1976) 453 Reflections across Two and Three Glass Plates, 17.2 (1979) 118 Representations of Integers in Terms of Greatest Integer Functions and the Golden Section Ratio, 17.4 (1979) 306 Roots of Fibonacci Polynomials, 11.3 (1973) 271 Sequence Transforms Related to Representations Using Generalized Fibonacci Numbers, 20.4 (1982) 289 Sequences of Matrix Inverses from Pascal, Catalan, and Related Convolution Arrays, 14.3 (1976) 224 Some New Fibonacci Identities, 2.1 (1964) 29 Special Determinants Found within Generalized Pascal Triangles, 11.5 (1973) 469 Special Partitions, 13.3 (1975) 278 Triangular Numbers, 12.3 (1974) 221 Unit Determinants in Generalized Pascal Triangles, 11.2 (1973) 131 Bicknell, M. & Cox, N. Primer for the Fibonacci Numbers, A: Part XII, 11.3 (1973) 317 Bicknell, M. & King, E.L. Fibonacci and Lucas Triangles, 10.5 (1972) 555 Bicknell, M. & Sarsfield, R. Generalization of Wythoff's Game, A 17.3 (1979) 198 Brown, J.L., Jr. Primer for the Fibonacci Numbers, A, Part XVI: Central Column Sequence, The, 16.1 (1978) 41 Bruckman, P.S. H-Convolution Transform, The, 13.4 (1975) 357 Periodic Continued Fraction Representations of Fibonacci-Type Irrationals, 15.3 (1977) 225 Carlitz, L. Generalized Eulerian Numbers and Polynomials, 16.2 (1978) 138 Carlitz, L. & Scoville, R. Fibonacci Representations, 10.1 (1972) 1; Addendum, 10.5 (1972) 527 Fibonacci Representations of Higher Order Part I: 10.1 (1972) 43; Part II: 10.1 (1972) 71 Lucas Representations, 10.1 (1972) 29 Pellian Representations, 10.5 (1972) 449 Representations for a Special Sequence, 10.5 (1972) 499 Chow, B. Some Theorems on Completeness, 10.5 (1972) 551 Cox, N. & Bicknell, M. Primer for the Fibonacci Numbers, A: Part XII, 11.3 (1973) 317 Cox, N. & Phillips, J. W. Some Universal Counterexamples, 8.3 (1970) 242 Davis, Basil, Br. Exponentials and Bessel Functions, 14.5 (1976) 405 Delaney, T. & Scott, A. Tribonacci Sequence, The, 15.3 (1977) 193; Addendum, 15.4 (1977) 361 Edgar, H. Another Proof that (Fn) 0 Mod 4 for All n > 4, 18.1 (1980) 80 H Hoggatt, Verner E., Jr. & Fielder, D.C. Analytical Verification of an "At Sight" Transformation, 11.4 (1973) 395 Sequences Associated with t-Ary Coding of Fibonacci's Rabbits, 15.4 (1977) 311 Gould, H.W. & Kim, J.B. Sequences Associated with t-Ary Coding of Fibonacci's Rabbits, 15.4 (1977) 311 Hansell, W. Hidden Hexagon Squares, The, 9.2 (1971) 120 Hillman, A.P. Characteristic Polynomial of the Generalized Shift Matrix, The, 3.2 (1965) 91 Nearly Linear Functions, 17.1 (1979) 84; Errata, 17.2 (1979) 188 Proof of Gould's Pascal Hexagon Conjecture, A, 10.6 (1972) 565 Property of Wythoff Pairs, A, 16.5 (1978) 472 Recursive, Spectral, and Self-Generating Sequences, 18.2 (1980) 97 Jamison, F. Dissection of a Square into n Acute Isosceles Triangles, 6.6 (1968) 390 Junge, B. Polynomials Arising from Reflections across Multiple Plates, 11.3 (1973) 285 Kim, J.B. & Gould, H.W. Sequences Associated with t-Ary Coding of Fibonacci's Rabbits, 15.4 (1977) 311 King, E.L. & Bicknell, M. Fibonacci and Lucas Triangles, 10.5 (1972) 555 Kramer, J. Special Cases of Fibonacci Periodicity, 10.5 (1972) 519 Leonard, H.T., Jr. & Phillips, J.W. Twenty-Four Master Identities, 9.1 (1971) 1 Lind, D.A. Compositions and Fibonacci Numbers, 7.3 (1969) 253 Dying Rabbit Problem, The, 7.5 (1969) 482 Heights of Fibonacci Polynomials and an Associated Function, The, 5.2 (1967) 141 Power Identity for Second-Order Recurrent Sequences, A, 4.3 (1966) 274 Primer for the Fibonacci Numbers, A, Part VI: 5.5 (1967) 445; Errata, 6.1 (1968) 49 Symbolic Substitutions into Fibonacci Polynomials, 6.5 (1968) 55 Long, C.T. Divisibility Properties of Generalized Fibonacci Polynomials, 12.2 (1974) 113 Sets of Binomial Coefficients with Equal Products, 12.1 (1974) 71 Owens, M.A. Hoggatt Sequences and Lexicographic Orderings, 25.4 (1987) 322 Peterson, B. On the Solutions to the Diophantine Equation x² + xy - y² = ±D, or the Number of Fibonacci-Type Sequences with a Given Characteristic, 13.3 (1975) 243 Some General Results on Representations, 10.1 (1972) 81 Phillips, J.W. Fibonacci and Lucas Sums in the r-Nomial Triangle, 13.2 (1975) 161 Phillips, J.W. & Cox, N. Some Universal Counterexamples, 8.3 (1970) 242 Phillips, J.W. & Leonard, H.T., Jr. Twenty-Four Master Identities, 9.1 (1971) 1 Ruggles, I.D. Primer for the Fibonacci Sequence, A, Part III: 1.3 (1963) 61; Part IV: 1.4 (1963) 65; Part V: 2.1 (1964) 59 Sarsfield, R. & Bicknell, M. Generalization of Wythoff's Game, A, 17.3 (1979) 198 Scott, A. & Delaney, T. Tribonacci Sequence, The, 15.3 (1977) 193; Addendum, 15.4 (1977) 361 H Hoggatt, Verner E., Jr. & Scoville, R. & Carlitz, L. Fibonacci Representations, 10.1 (1972) 1; Addendum, 10.5 (1972) 527 Fibonacci Representations of Higher Order, Part I; 10.1 (1972) 43; Part II: 10.1 (1972) 71 Lucas Representations, 10.1 (1972) 29 Pellian Representations, 10.5 (1972) 449 Representations for a Special Sequence, 10.5 (1972) 499 Silva, A. Generalized Fibonacci Numbers, 18.4 (1980) 290 Smith, C. Generating Functions of Central Values in Generalized Pascal Triangles, 17.1 (1979) 58 Primitive Periods of Generalized Fibonacci Sequences, 14.4 (1976) 343 Roots of (H-L)/15 Recurrence Equations in Generalized Pascal Triangles, 18.1 (1980) 36 Study of the Maximal Values in Pascal's Quadrinomial Triangle, A, 17.3 (1979) 264 Straus, E.G. & Arkin, J. On Euler's Solution to a Problem of Diophantus, Part I: 17.4 (1979) 333; Part II; 18.2 (1980) 170 Wagner, W.J. & Bergum, G.E. Chebyshev Polynomials and Related Sequences, 13.1 (1975) 19 Weinshenk, R.J. On Solving Cn+2 = Cn+1 + Cn + nm by Expansions and Operators, 8.1 (1970) 39 Holben, C.A. & Jordan, J.H. Twin Prime Problem and Goldbach's Conjecture in the Gaussian Integers, The, 6.5 (1968) 81 Holden, Herbert L. Fibonacci Tiles, 13.1 (1975) 45 Holladay, John C. Some Convergent Recursive Sequences, Homeomorphic Identities, and Inductively Defined Complementary Sequences, 4.1 (1966) 1; Corrigendum for, 4.3 (1966) 249 Holt, Marvin H. Mystery Puzzler and Phi, 3.2 (1965) 135 Holte, John M. Lucas-Type Theorem for Fibonomial-Coefficient Residues, A, 32.1 (1994) 60 Residues of Generalized Binomial Coefficients Modulo a Prime, 38.3 (2000) 227 Holzer, Markus & Rossmanith, P. Simpler Grammar for Fibonacci Numbers, A, 34.5 (1996) 465 Hones, M.J. & Shaw, D.E. & Wunderlich, F.J. Argand Diagrams of Extended Fibonacci and Lucas Numbers, 12.3 (1974) 233 Wunderlich, F.J. & Shaw, D.E. Argand Diagrams of Extended Fibonacci and Lucas Numbers, 12.3 (1974) 233 Hope, Peter Exponential Growth of Random Fibonacci Sequences, 33.2 (1995) 164 Hopkins, Glenn & Staton, W. Some Identities Arising from the Fibonacci Numbers of Certain Graphs, 22.3 (1984) 255 Horadam, Alwyn F. Alternate Proof of a Unique Representation Theorem, An, 32.5 (1994) 409 Associated Sequences of General Order, 31.2 (1993) 166 Basic Properties of a Certain Generalized Sequence of Numbers, 3.3 (1965) 161 Book Review: The Book of Squares by Leonardo Pisano (Fibonacci) translated by L.E. Sigler, 26.4 (1988) 382 H Horadam, Alwyn F. Chebyshev and Fermat Polynomials for Diagonal Functions, 17.4 (1979) 328 Coaxal Circles Associated with Recurrence-Generated Sequences, 22.3 (1984) 270 Completion of Numerical Values of Generalized Morgan-Voyce and Related Polynomials, 38.3 (2000) 260 Composite of Morgan-Voyce Generalizations, A, 35.3 (1997) 233 Determinantal Hypersurfaces for Lucas Sequences of Order r, and a Generalization, 24.3 (1986) 227 Diagonal Functions, 16.1 (1978) 33 Elliptic Functions and Lambert Series in the Summation of Reciprocals in Certain Recurrence-Generated Sequences, 26.2 (1988) 98 Extension of a Synthesis for a Class of Polynomial Sequences, 34.1 (1996) 68 Extensions of a Paper on Diagonal Functions, 18.1 (1980) 3 Falling Factorial Polynomials of Generalized Fibonacci Type, Proc III (1990) 139 Fibonacci's Mathematical Letter to Master Theodorus, 29.2 (1991) 103 Further Appearance of the Fibonacci Sequence, 1.4 (1963) 41 Gegenbauer Polynomials Revisited, 23.4 (1985) 294 Generalized Zigzag Polynomials, 24.1 (1986) 8 Generating Identities for Generalized Fibonacci and Lucas Triples, 15.4 (1977) 289 Generation of Genocchi Polynomials of First Order by Recurrence Relations, 30.3 (1992) 239 Genocchi Polynomials, Proc IV (1991) 145 Geometry of a Generalized Simson's Formula, 20.2 (1982) 164 Hypersurfaces Associated with Simson Formula Analogues, 24.3 (1986) 221 Jacobsthal and Pell Curves, 26.1 (1988) 77 Jacobsthal Representation Numbers, 34.1 (1996) 40 Jacobsthal Representation Polynomials, 35.2 (1997) 137 Maximal Representations of Positive Integers by Pell Numbers, 32.3 (1994) 240 Minmax Polynomials, 34.1 (1996) 7 Minmax Sequences for Pell Numbers, Proc VI (1996) 231 Morgan-Voyce Type Generalized Polynomials with Negative Subscripts, 36.5 (1998) 391 Negative Order Genocchi Polynomials, 30.1 (1992) 21 New Aspects of Morgan-Voyce Polynomials, Proc VII (1998) 161 On Generating Functions for Powers of a Generalized Sequence of Numbers, 12.4 (1974) 348 Oresme Numbers, 12.3 (1974) 267 Partial Sums for Second-Order Recurrence Sequences, 32.5 (1994) 429 Pell Identities, 9.3 (1971) 245 Pell Numbers and Coaxal Circles, 22.4 (1984) 324 Polynomials Associated with Chebyshev Polynomials of the First Kind, 15.3 (1977) 255 Polynomials Associated with Generalized Morgan-Voyce Polynomials, 34.4 (1996) 342 Pythagorean Triples, 20.2 (1982) 121 Quasi Morgan-Voyce Polynomials and Pell Convolutions, Proc VIII (1999) 179 Representation Grids for Certain Morgan-Voyce Numbers 37.4 (1999) 320 Rodrigues' Formulas for Jacobsthal-Type Polynomials, 35.4 (1997) 361 Special Properties of the Sequence Wn(a,b; p,q), 5.5 (1967) 424 Sums of Products: An Extension, 17.3 (1979) 248 Synthesis of Certain Polynomial Sequences, A, Proc VI (1996) 215 Tschebyscheff and Other Functions Associated with the Sequence {Wn(a,b; p,q)}, 7.1 (1969) 14 Unique Minimal Representation of Integers by Negatively Subscripted Pell Numbers, 32.3 (1994) 202 Uniqueness of Representations by Morgan-Voyce Numbers, 38.3 (2000) 212 Wythoff Pairs, 16.2 (1978) 147 Zeckendorf Representations of Positive and Negative Integers by Pell Numbers, Proc V (1993) 305 Zigzag Polynomials, 23.3 (1985) 214 H Horadam, A.F. & Bennett, L., Bergum G.E. & Moore, S.D. Jacobsthal Polynomials and a Conjecture Concerning Fibonacci-Like Matrices, 23.3 (1985) 240 Bergum, G.E, Bennett, L. & Moore, S.D. Jacobsthal Polynomials and a Conjecture Concerning Fibonacci-Like Matrices, 23.3 (1985) 240 Bergum, G.E. & Shannon, A.G. Infinite Classes of Sequence-Generated Circles, 22.3 (1984) 247 Collings, S.N. & Shannon, A.G. Some Congruences for Fibonacci Numbers, 12.4 (1974) 351 Filipponi, P. Addendum to "Second Derivative Sequences of Fibonacci and Lucas Polynomials", 32.2 (1994) 110 Cholesky Algorithm Matrices of Fibonacci Type and Properties of Generalized Sequences, 29.2 (1991) 164 Derivative Sequences of Fibonacci and Lucas Polynomials, Proc IV (1991) 99 Derivative Sequences of Jacobsthal and Jacobsthal-Lucas Polynomials, 35.4 (1997) 352 First Derivative Sequences of Extended Fibonacci and Lucas Polynomials, Proc VII (1998) 115 Integration Sequences of Fibonacci and Lucas Polynomials, Proc V (1993) 317 Jacobsthal and Jacobsthal-Lucas Polynomials, Proc VIII (1999) 129 Matrix Approach to Certain Identities, A, 26.2 (1988) 115 Partial Derivative Sequences of Second-Order Recurrence Polynomials, Proc VI (1996) 105 Real Pell and Pell-Lucas Numbers with Real Subscripts, 33.5 (1995) 398 Second Derivative Sequences of Fibonacci and Lucas Polynomials, 31.3(1993) 194 Filipponi, P. & Menicocci, R. Extended Dickson Polynomials, 32.5 (1994) 455 Filipponi, P. & Swita, B. 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