## Applications of Fibonacci Numbers: Proceedings of 'The Fourth International Conference on Fibonacci Numbers and Their Applications', Wake Forest University, N.C., U.S.A., July 30-August 3, 1990Gerald E. Bergum, Andreas N. Philippou, A. F. Horadam This book contains 50 papers from among the 95 papers presented at the Seventh International Conference on Fibonacci Numbers and Their Applications which was held at the Institut Fiir Mathematik, Technische Universitiit Graz, Steyrergasse 30, A-SOlO Graz, Austria, from July 15 to July 19, 1996. 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 six predecessors, will be useful to research workers and graduate students interested in the Fibonacci numbers and their applications. September 1, 1997 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 House of Representatives Nicosia, Cyprus xxvii THE ORGANIZING COMMITTEES LOCAL COMMITTEE INTERNATIONAL COMMITTEE Tichy, Robert, Chairman Horadam, A. F. (Australia), Co-Chair Prodinger, Helmut, Co-Chairman Philippou, A. N. (Cyprus), Co-Chair Grabner, Peter Bergurt: t, G. E. (U. S. A. ) Kirschenhofer, Peter Filipponi, P. (Italy) Harborth, H. (Germany) Horibe, Y. (Japan) Johnson, M. (U. S. A. ) Kiss, P. (Hungary) Phillips, G. M. (Scotland) Turner, J. (New Zealand) Waddill, M. E. (U. S. A. ) xxix LIST OF CONTRIBUTORS TO THE CONFERENCE *ADELBERG, ARNOLD, "Higher Order Bernoulli Polynomials and Newton Polygons. " AMMANN, ANDRE, "Associated Fibonacci Sequences. " *ANDERSON, PETER G., "The Fibonacci Shuffle Tree. |

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Applications of Fibonacci Numbers, Volume 2 Andreas Philippou,Alwyn F. Horadam,G.E. Bergum Limited preview - 2013 |

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1991 Kluwer Academic 8vn+l A. F. Horadam Applications of Fibonacci arithmetic Arkin binomial coefficients Chinese Remainder Theorem coauthors column congruence consider constant term corresponding CUBE defined denote diagonal divisor elements equal equation Euclid's algorithm example exponential functions Fibonacci and Lucas Fibonacci identities Fibonacci Numbers Volume Fibonacci Quarterly Fibonacci sequence Fibonacci tree Filipponi formula FPSP G. E. Bergum Genocchi Genocchi polynomials graph Harborth Hence Hoggatt implies induction infinite Kluwer Academic Publishers Lemma line-sequence linear recurrence Lucas numbers Lucas sequence matrix modulo Moebius multinomial coefficients multinomial triangles n-RT nearly isosceles Netherlands node nonnegative integer obtain p-gons pair parameters partitions Pascal's triangle perfect square positive integer Proof of Theorem properties prove PSCF Pythagorean triples quadratic r-Fibonacci search rational number real numbers recurrence relation root samples simple continued fraction solutions superposed exponential functions Suppose Tribonacci