Results 141 to 150 of about 379 (161)
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Sums of generalized Fibonacci numbers
2008Let \(\{w_n(a,b;p,q)\}\) be the generalized Fibonacci sequence \[ w_0 = a, w_1 = b, w_n = pw_{n-1} + qw_{n-2} \text{ for } n \geq 2, \] where \(q, b, p, q\) are arbitrary complex numbers and \(q \geq 0\). Explicit formulae of sums \[ \sum_{i=0}^n w_{r+ti}(a,b;p,q),\quad\sum_{i=0}^n (-1)^i w_{r+ti}(a,b;p,q),\quad \sum_{i=0}^n k^i w_{r+ti}(a,b;p,q), \] \[
Čerin, Zvonko, Gianella, Gian Mario
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On Generalized Fibonacci and k-Generalized Fibonacci Numbers
ICIC Express LettersSingavananda, Pattarawan +3 more
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On Generalized Fibonacci Quaternions and Fibonacci-Narayana Quaternions
Advances in Applied Clifford Algebras, 2013Cristina Flaut +2 more
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Fibonacci Generalized Quaternions
Advances in Applied Clifford Algebras, 2014Hidayet Huda Kosal +2 more
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On the Generation of Fibonacci Numbers and the “Polyvibrating” Extension of These Numbers
The Fibonacci Quarterly, 1971Mangeron, D. +2 more
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Coding theory on generalized Fibonaccin-step polynomials
Journal of Information and Optimization Sciences, 2017Manjusri Basu
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Some identities of the generalized Fibonacci and Lucas sequences
Applied Mathematics and Computation, 2018Zhizheng Zhang
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New identities involving generalized Fibonacci and generalized Lucas numbers
Indian Journal of Pure and Applied Mathematics, 2018Abd-Elhameed W M, W M Abd-Elhameed
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