Results 171 to 180 of about 717 (218)

A note on generalized Fibonacci sequences

Applied Mathematics and Computation, 2011
The author proves identities with generalized Fibonacci sequences.
exaly   +3 more sources

The generating function of the generalized Fibonacci sequence

open access: yesIntegers, 2015
In this paper, the authors derive some algebraic relations on the generating functions for generalized Fibonacci sequence \(\{Q_{n}\}_{n=0}^{\infty }\) defined by \(Q_{0}=0,Q_{1}=1,Q_{m}=a_{j}Q_{m-1}+b_{j}Q_{m-2},m\equiv j\pmod k\), where \(k\geq 3\) is a fixed integer and \(a_{0},a_{1},\cdots,a_{k-1},b_{0},b_{1},\cdots,b_{k-1}\) are \(2k\) given real ...
Gonçalves, Armando, Jesus, M. N. de
openaire   +4 more sources

A Generalized Fibonacci Sequence

American Mathematical Monthly, 1961
exaly   +2 more sources

Another Generalized Fibonacci Sequence

The Fibonacci Quarterly, 1967
Marcellus E. Waddill, Louis Sacks
exaly   +2 more sources

∞-Generalized Fibonacci Sequences and Markov Chains

The Fibonacci Quarterly, 2000
The authors study the convergence of generalized Fibonacci sequences defined by the recursion \[ V_{n+1}= a_0V_n+ a_1V_{n-1}+\cdots+ a_{s-1}V_{n-s+1}, \] with non-negative coefficients \(a_0,\dots, a_{s-1}\), by first reducing to the case where \(\sum_i a_i=1\) and then using ideas from the theory of Markov chains.
Mouline, Mehdi, Rachidi, Mustapha
openaire   +2 more sources

Home - About - Disclaimer - Privacy