On Bicomplex Fibonacci Numbers and Their Generalization
, 2018 In this chapter, we consider bicomplex numbers with coefficients from Fibonacci sequence and give some identities. Moreover, we demonstrate the accuracy of such identities by taking advantage of idempotent representations of the bicomplex numbers. And then by this representation, we give some identities containing these numbers.
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Restricted Permutations, Fibonacci Numbers, and k-generalized Fibonacci Numbers
, 2005 In 1985 Simion and Schmidt showed that the number of permutations in Sn which avoid 132, 213, and 123 is equal to the Fibonacci number Fn+1. We use generating function and bijective techniques to give other sets of pattern-avoiding permutations which can be enumerated in terms of Fibonacci or k-generalized Fibonacci numbers.
Egge, Eric C., Mansour, Toufik
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Psychoacoustic Properties of Fibonacci Sequences
Acta Polytechnica, 2008 1202, Fibonacci set up one of the most interesting sequences in number theory. This sequence can be represented by so-called Fibonacci Numbers, and by a binary sequence of zeros and ones.
J. Sokoll, S. Fingerhuth
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On the Frobenius Number of Fibonacci Numerical Semigroups [PDF]
, 2007 J. M. MARIN +2 more
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Pseudo-random number generator based on linear congruence and delayed Fibonacci method
, 2021 Radosław Cybulski
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The extended Frobenius problem for Fibonacci sequences incremented by a Fibonacci number
, 2022 Aureliano M. Robles-Pérez +1 more
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Hybrid Numbers with Fibonacci and Lucas Hybrid Number Coefficients [PDF]
, 2022 Emrah Polatlı
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Gap terminology and related combinatorial properties for AVL trees and Fibonacci-isomorphic trees
AKCE International Journal of Graphs and Combinatorics, 2018 We introduce gaps that are edges or external pointers in AVL trees such that the height difference between the subtrees rooted at their two endpoints is equal to 2.
Mahdi Amani
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Counting isomorphism classes of groups of Fibonacci type with a prime power number of generators
, 2023 E.M. Mohamed, Gerald Williams
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Linear regression with Fibonacci-derived polynomials for temperature prediction model
Discover DataThis research work explores the integration of Fibonacci-derived polynomial and linear equations from Fibonacci numbers into a machine learning framework for predictive modeling of environmental datasets, such as wind speed, temperature, and humidity ...
Ahmed O. Ameen, Johnson O. Fashanu
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