Applications of Fibonacci Numbers

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.