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k-generalized Fibonacci numbers of the form 1+2(n1)+4(n2) + ... + (2(k))(nk)

Abstract:

A generalization of the well known Fibonacci sequence is the k generalized Fibonacci sequence (F-n((k)))(n >= 2-k) whose first k terms are 0, ... 0, 1 and each term afterwards is the sum of the preceding k terms. In this paper, we investigate k generalized Fibonacci numbers written in the form 1 + 2(n1) + 4(n2) + ... + (2(k))(nk), for non negative integers n, with n(k) >= max(1 <= i <= k-1){n(i)}.
Keywords: LUCAS-NUMBERS; RECURRENCES; EQUATIONS
Journal: Mathematical Communications
ISSN: 1331-0623
Year: 2014
Volume: 19
Number: 2
Pages: 321-332
Revision: 1
Notas: Accession Number: WOS:000345431400008
Created Created: 2015-01-05 13:17:50
Modified Modified: 2015-01-05 13:20:36
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