Applications of Fibonacci numbers : proceedings of 'The Fourth international conference on Fibonacci numbers and their applications', The University of St.Andrews, Scotland, July 20-July 24, 1992
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| 001 | 000000479000 | |
| 005 | 19970513100502.0 | |
| 008 | 970429s1993 ne a bi 00110 eng d | |
| 020 | ▼a 0792324919 | |
| 040 | ▼a 211009 ▼c 211009 | |
| 082 | 0 4 | ▼a 512.72 ▼2 20 |
| 090 | ▼a 512.72 ▼b I61a ▼c 5 | |
| 111 | 2 0 | ▼a International conference on Fibonacci numbers and their applications |
| 245 | 1 0 | ▼a Applications of Fibonacci numbers : ▼b proceedings of 'The Fourth international conference on Fibonacci numbers and their applications', The University of St.Andrews, Scotland, July 20-July 24, 1992 / ▼c edited by G.E. Bergum, A.N. Philippou, and A.F. Horadam. |
| 260 | ▼a Dordrecht,: ▼b Kluwer Academic Publishers, ▼c 1993. | |
| 300 | ▼a xxxiii, 625 p. : ▼b ill. ; ▼c 25 cm. | |
| 500 | ▼a "Volume 5." | |
| 504 | ▼a Includes bibliographical references and index. | |
| 700 | 1 0 | ▼a Bergrum, G.E. |
| 700 | 1 0 | ▼a Philippou, A.N. |
| 700 | 1 0 | ▼a Horadam, A.F. |
Holdings Information
| No. | Location | Call Number | Accession No. | Availability | Due Date | Make a Reservation | Service |
|---|---|---|---|---|---|---|---|
| No. 1 | Location Main Library/Western Books/ | Call Number 512.72 I61a 5 | Accession No. 111051258 | Availability Available | Due Date | Make a Reservation | Service |
Contents information
Table of Contents
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 Two-Sided Sequences.- Transformations of Fibonacci-Lucas 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.- Co-Related Sequences Satisfying the General Second Order Recurrence Relation.- On the Moments of The Sum-of-Digits Function.- Problems on Fibonacci and B-Adic Tree Representations by Regular K-Gons.- Two-Distance 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.- Pell-Type Number Generators of Pythagorean Triples.- Balance Morphology of a Binary Tree.- Norlund's Number B(n)n.- On Stirling-Type Pairs and Extended Gegenbauer-Humbert-Fibonacci Polynomials.- A Sequence Arising from Reflections in Multiple Glass Plates.- Diophantine Representation of Non-Fibonacci 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 Line-Sequential 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 Second-Order 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 k-Order Linear Recursive Sequences.
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