## Fibonacci Numbers and Their Applications (Google eBook)Andreas N. Philippou, Gerald E. Bergum, A. F. Horadam |

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### Contents

VIII | 1 |

IX | 9 |

X | 39 |

XI | 43 |

XII | 55 |

XIII | 81 |

XIV | 99 |

XV | 105 |

XX | 181 |

XXI | 185 |

XXII | 193 |

XXIII | 203 |

XXIV | 229 |

XXV | 235 |

XXVI | 241 |

XXVII | 257 |

### Common terms and phrases

A. N. Philippou algebraic number field Applications asymptotic coauthor coefficients computable consecutive convolution sequence Corollary defined distribution of order equation Euler exist infinitely F system Fibo Fibonacci and Lucas Fibonacci and Pell Fibonacci numbers Fibonacci polynomials Fibonacci pseudoprimes Fibonacci Quarterly Fibonacci sequence Fibonacci subsets Fibonacci-type polynomials finite fl(k formula function Gegenbauer polynomials Georghiou Hence Hirano Hoggatt Horadam Kekule structures kR(k ladder network Lemma Lucas numbers Lucas pseudoprime Lucas sequence Math Mathematics modulo Morgan-Voyce polynomials nacci NBk(r Niederreiter nondegenerate nonnegative integers numbers Pn obtain Pascal triangle Pell numbers Pell polynomials Pell-Lucas polynomials of order prime ideals proof of Theorem properties Proposition proved pseudoprime with parameters random variable random variable distributed rational integers recurrence relation Reidel Publishing Company result root of unity Rotkiewicz satisfies solutions summation Theory tion triangle of order u.d. mod University of Patras voltages

### Popular passages

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Page vi - Erik Lieuwens 131 FIBONACCI AND LUCAS NUMBERS AND THE MORGAN-VOYCE POLYNOMIALS IN LADDER NETWORKS AND IN ELECTRIC LINE THEORY Joseph Lahr 141 INFINITE SERIES SUMMATION INVOLVING RECIPROCALS OF PELL POLYNOMIALS Br.

Page ii - Universita degli Studi di Roma, Italy Yu. I. MANIN, Steklov Institute of Mathematics, Moscow, USSR AHG RINNOOY KAN, Erasmus University, Rotterdam, The Netherlands G.-C. ROTA, MIT, Cambridge, Mass., USA Shang-Ching Chou Institute for Computing Science, University of Texas at Austin, Texas, USA Mechanical Geometry Theorem Proving D.

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