Dewey Class 
512 
Title 
Applications of Fibonacci Numbers ([EBook] :) : Volume 5 Proceedings of ‘The Fifth International Conference on Fibonacci Numbers and Their Applications’, The University of St. Andrews, Scotland, July 20–July 24, 1992 / / edited by Gerald E. Bergum, Andreas N. Philippou, Alwyn F. Horadam. 
Added Personal Name 
Bergum, Gerald E. editor. 
Philippou, Andreas N. editor. 
Horadam, Alwyn F. editor. 
Other name(s) 
SpringerLink (Online service) 
Publication 
Dordrecht : : Springer Netherlands : : Imprint: Springer, , 1993. 
Physical Details 
XXXIV, 625 p. : online resource. 
ISBN 
9789401120586 
Summary Note 
This book contains 58 papers from among the 68 papers presented at the Fifth International Conference on Fibonacci Numbers and Their Applications which was held at the University of St. Andrews, St. Andrews, Fife, Scotland from July 20 to July 24, 1992. 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 four predecessors, will be useful to research workers and graduate students interested in the Fibonacci numbers and their applications. June 5, 1993 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 Government House Z50 Nicosia, Cyprus xxv THE ORGANIZING COMMITTEES LOCAL COMMITTEE INTERNATIONAL COMMITTEE Campbell, Colin M., CoChair Horadam, A.F. (Australia), CoChair Phillips, George M., CoChair Philippou, A.N. (Cyprus), CoChair Foster, Dorothy M.E. Ando, S. (Japan) McCabe, John H. Bergum, G.E. (U.S.A.) Filipponi, P. (Italy) O'Connor, John J.: 
Contents note 
Multidimensional Golden Means  A Necessary and Sufficient Condition that Rays of A Star Configuration on Pascal’s Triangle Cover Its Center With Respect to GCD and LCM  On the Minimal Center Covering Stars With Respect to GCD In Pascal’s Pyramid and Its Generalizations  An Extension of an Old Classical Diophantine Problem  Fourier Analysis in Finite Nilpotent Groups  Wall and Vinson Revisited  Designer Decimals: Fractions Which Contain Second Order Recursion Sequences in Their Decimal Expansions, Reading Left to Right or Right to Left  Semigroup Presentations and Number Sequences  Counting the Number of Solutions of Congruences  On the Number of Overlapping Success Runs in A Sequence of Independent Bernoulli Trials  Embedding Fibonacci Words Into Fibonacci Word Patterns  On Sums of Cubes of Fibonacci Numbers  Integer Sided Triangles Whose Ratio of Altitude to Base Is an Integer  On a class of Iterative Recurrence Relations  Discrete Operational Calculi for TwoSided Sequences  Transformations of FibonacciLucas Identities  Fibonacci Numbers and Continued Fraction Expansions  The DFF and DFFZ Triangles and Their Mathematical Properties  Contributions from Cascaded Combinations to the Naming of Special Permutations  The Zeckendorf Representation of {Fkn/Fn}  Fractal Patterns Derived from Rational Binomial Coefficients  Hausdorff Dimension in Pascal’s Triangle  Chaos, Elliptic Curves and All that  CoRelated Sequences Satisfying the General Second Order Recurrence Relation  On the Moments of The SumofDigits Function  Problems on Fibonacci and BAdic Tree Representations by Regular KGons  TwoDistance Sets and the Golden Ratio  A Fibionacci Problem Classification Scheme Useful to Undergraduate Pedagogy  Zeckendorf Representations of Positive and Negative Integers by Pell Numbers  Integration Sequences of Fibonacci and Lucas Polynomials  PellType Number Generators of Pythagorean Triples  Balance Morphology of a Binary Tree  Nörlund’s Number B(n)n  On StirlingType Pairs and Extended GegenbauerHumbertFibonacci Polynomials  A Sequence Arising from Reflections in Multiple Glass Plates  Diophantine Representation of NonFibonacci Numbers  On Some Problems Related to the Fibonacci Group  Congruence Properties of Fibonacci Numbers and Fibonacci Coefficients Modulo P2  Orderings of the Set of All Positive Fibonacci Sequences  Some Results Concerning the Reciprocal Sum of Prime Divisors of a Lucas Number  Rational Numbers with Predictable Engel Product Expansions  Two Families of Orthogonal Polynomial Systems Related to Fibonacci Chains  On the Formation of Higher Order Higher Dimensional LineSequential Vector Spaces  Arithmetic Sequences and Second Order Recurrences  Generalized Fibonacci Pseudoprimes and Probable Primes  A Generalization of the Fibonacci Sequence  How to Advance on a Stairway by Coin Flippings  Fibonacci Sequence and Its Generalizations Hidden in Algorithms for Generating Morse Codes  On Matrix Representations of Generalized Fibonacci Numbers and Their Applications  A Cholesky Decomposition in Matching Insulin Profiles  Generalized Exponential and Trigonometric Functions  Divisibility of Terms in Lucas Sequences by Their Subscripts  Upper Bounds for Frequencies of Elements in SecondOrder Recurrences Over a Finite Field  On the Convergence of Quotients of Some Recursive Sequences  Two Distribution Problems for Polynomials  The Elements of Enteger Geometry  Totient Functions on the Euler Number Tree  Using Matrix Techniques to Establish Properties of kOrder Linear Recursive Sequences. 
System details note 
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Internet Site 
http://dx.doi.org/10.1007/9789401120586 
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