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El. knyga: Applications of Fibonacci Numbers: Volume 6 Proceedings of 'The Sixth International Research Conference on Fibonacci Numbers and Their Applications', Washington State University, Pullman, Washington, U.S.A., July 18-22, 1994

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  • Formatas: PDF+DRM
  • Išleidimo metai: 06-Dec-2012
  • Leidėjas: Springer
  • Kalba: eng
  • ISBN-13: 9789400902237
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  • Formatas: PDF+DRM
  • Išleidimo metai: 06-Dec-2012
  • Leidėjas: Springer
  • Kalba: eng
  • ISBN-13: 9789400902237
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Proceedings of `The Sixth International Research Conference on Fibonacci Numbers and their Applications', Washington State University, Pullman, Washington, USA, July 18-22, 1994

This book contains 43 papers form among the 55 papers presented at the Sixth International Conference on Fibonacci Numbers and Their Applications which was held at Washington State University, Pullman, Washington, from July 18-22, 1994. These papers have been selected after a careful review by well known referees in the field, and they range from elementary number theory to probability and statistics. The Fibonacci numbers and recurrence relations are their unifying bond. It is anticipated that this book, like its five predecessors, will be useful to research workers and graduate students interested in the Fibonacci numbers and their applications. October 30, 1995 The Editors Gerald E. Bergum South Dakota State University Brookings, South Dakota, U.S.A. Alwyn F. Horadam University of New England Armidale, N.S.W., Australia Andreas N. Philippou 26 Atlantis Street Aglangia, Nicosia Cyprus xxi THE ORGANIZING COMMITTEES LOCAL COMMITTEE INTERNATIONAL COMMITTEE Long, Calvin T., Co-Chair Horadam, A.F. (Australia), Co-Chair Webb, William A., Co-Chair Philippou, A.N. (Cyprus), Co-Chair Burke, John Ando, S. (Japan) DeTemple, Duane W.
A Report on the Sixth International Conference ix List of Contributors to This Proceedings xi Foreword xxi The Organizing Committees xxiii List of Contributors to the Conference xxv Introduction xxvii Advances in Linear Pixel Shuffling 1(22) Peter G. Anderson Minimal Center Covering Stars with Respect to LCM in Pascals Pyramid and Its Generalizations 23(8) Shiro Ando Daihachiro Sato Multiple Color Version of the Star of David Theorems on Pascals Triangle and Related Arrays of Numbers 31(16) Shiro Ando Daihachiro Sato Some Remarks on the Distribution of Second Order Recurrences and a Related Group Structure 47(6) John R. Burke Matrices, Recurrent Sequences and Arithmetic 53(10) Umberto Cerruti Francesco Vaccarino Vector Linear Recurrent Sequences in Commutative Rings 63(10) Umberto Cerruti Francesco Vaccarino Subwords of the Golden Sequence and the Fibonacci Words 73(12) Wai-fong Chuan Interesting Arrays Associated with Fibonacci Sequences 85(8) M.N. Deshpande G.E. Bergum More Applications of a Partition Driven Symmetric Table 93(12) Daniel C. Fielder Cecil O. Alford Partial Derivative Sequences of Second-Order Recurrence Polynomials 105(18) Piero Filipponi Alwyn F. Horadam The Zeckendorf Decomposition of Certain Classes of Integers 123(14) Piero Filipponi Herta T. Freitag On the Sum of Consecutive Squares 137(6) Herta T. Freitag George M. Phillips Rado Numbers of Fibonacci Sequences and A Problem of S. Rabinowitz 143(12) Heiko Harborth Silke Maasberg Rooks on Fibonacci Boards 155(10) Heiko Harborth Lothar Piepmeyer Tiling with Cuisenaire Rods 165(8) Eleanor Hare Phyllis Chinn Hofstadters Conjecture For α√2-1 173(28) Russell Jay Hendel Recursive Properties of Trigonometric Products 201(14) Russell Jay Hendel Charles K. Cook A Synthesis of Certain Polynomial Sequences 215(16) A. F. Horadam Minmax Sequences for Pell Numbers 231(20) A. F. Horadam On Dichotomous Complexity of the Fibonacci Tree 251(6) Yasuichi Horibe Formulas of Ramanujan Involving Lucas Numbers, Pell Numbers, and Bernoulli Numbers 257(14) F. T. Howard Counting Sets of Integers with Various Summation Properties 271(12) Derek Jennings Factorial and Binomial Coefficients in Polynomial Rings Over Finite Fields 283(8) William A. Kimball An Identity Involving the q-Factorial 291(6) Z.F. Kocak George M. Phillips GCD Properties of an Octagon 297(6) Ed Korntved Products and Quotients of Difference Equations 303(18) Joseph Lahr The Wythoff and the Zeckendorf Representations of Numbers Are Equivalent 321(18) Wolfdieter Lang Some Basic Translational Properties of the General Fibonacci Line-Sequence 339(10) Jack Y. Lee Pentagonal Numbers in Fibonacci Sequence 349(6) Ming Luo On Reciprocal Sums of Second Order Sequences 355(10) R. S. Melham A. G. Shannon Solving Linear Recurrences from Differential Equations in the Exponential Manner and Vice Versa 365(16) Walter Oberschelp The Rational Heart of Integer Fibonacci Pentagons 381(8) Blake E. Peterson James H. Jordan Algorithmic Manipulation of Fibonacci Identities 389(20) Stanley Rabinowitz On Lucas Pseudoprimes of the Form ax2 + bxy + cy2 409(14) Andrzej Rotkiewicz On Certain Rational Expressions Whose Prime Divisors are Cubic Residues (MOD P) 423(8) Ken-ichi Sato Susumu Shirai A Search for Solutions of a Functional Equation 431(12) A. G. Shannon R. P. Loh R.S. Melham A. F. Horadam A Use of Generalized Fibonacci Numbers in Finding Quadratic Factors 443(8) A. G. Shannon Irving C. Tang R. L. Ollerton Distribution of Residues of Certain Second-Order Linear Recurrences Modulo P-III 451(22) Lawrence Somer Divisibility of Terms in Lucas Sequences of the Second Kind by Their Subscripts 473(14) Lawrence Somer On a Model of the Modular Group 487(18) John C. Turner A. G. Schaake Properties of a k-Order Linear Recursive Sequence Modulo m 505(16) Marcellus E. Waddill Residue Counts Modulo Three for the Fibonacci Triangle 521(16) Diana L. Wells On a Class of Congruences for Lucas Sequences 537(8) Paul Thomas Young Subject Index 545