Applications of Fibonacci Numbers Volume 7
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Applications of Fibonacci Numbers Volume 7 Proceedings of 'The Seventh International Research Conference on Fibonacci Numbers and Their Applications', Technische Universităt, Graz, Austria, July 15-19,1996
edited by
G. E. Bergum South Dakota State University, Brookings, South Dakota, U.S.A.
A. N. Philippou House of Representatives, Nicosia, Cyprus
and
A. F. Horadam University of New England, Armidale, New South Wales, Australia
SPRINGER SCIENCE+BUSINESS MEDIA, BV.
A C.I.P. Catalogue record for this book is available from the Library of Congress.
ISBN 978-94-010-6107-0 DOI 10.1007/978-94-011-5020-0
ISBN 978-94-011-5020-0 (eBook)
Printed an acid-tree paper
Cover figure by Heiko Harborth
AII Rights Reserved © 1998 Springer Science+Business Media Dordrecht Originally published by Kluwer Academic Publishers in 1998 Softcover reprint of the hardcover 1st edition 1998 No part of the material protected by this copyright notice may be reproduced or utilized in any form or by any means, electronic or mechanical, including photocopying, recording ar by any information storage and retrieval system, without written permission from the copyright owner.
TABLE OF CONTENTS
A REPORT ON THE SEVENTH INTERNATIONAL CONFERENCE ................................... ix LIST OF CONTRIBUTORS TO THIS PROCEEDINGS ......................................................... xi FOREWORD ...................................................................................................................... xxvii THE ORGANIZING COMMITTEES ................................................................................... xxix LIST OF CONTRIBUTORS TO THE CONFERENCE ....................................................... xxxi INTRODUCTION ................................................................................................................ xxxv HIGHER ORDER BERNOULLI POLYNOMIALS AND NEWTON POLYGONS Arnold Adelberg ............................................................................................................ 1 THE FIBONACCI SHUFFLE TREE Peter G. A nderson ........................................................................................................ 9 ON THE PERlOD OF SEQUENCES MODULO A PRIME SATISFYING A SECOND ORDER RECURRENCE Shiro Ando ................................................................................................................. 17 GENERALIZATIONS TO LARGE HEXAGONS OF THE STAR OF DAVID THEOREM WITH RESPECT TO GCD Shiro Ando, Calvin Long and Daihachiro Sato ............................................................ 23 LONGEST SUCCESS AND FAILURE RUNS AND NEW POLYNOMIALS RELATED TO THE FIBONACCI-TYPE POLYNOMIALS OF ORDER K Demetrios L. Antzoulakosand Andreas N. Philippou ................................................. 29 A NOTE ON A REPRESENTATION CONJECTURE BY HOGGATT Marjorie Bicknell-Johnson ......................................................................................... 39 SOME REMARKS ON THE DISTRIBUTION OF SUBSEQUENCES OF SECOND ORDER LINEAR RECURRENCES John R. Burke .
