JP Journal of Algebra, Number Theory and Applications
Volume 12, Issue 2, Pages 157 - 168
(December 2008)
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SUMS OF GENERALIZED FIBONACCI NUMBERS
Zvonko Čerin (Croatia) and Gian Mario Gianella (Italy)
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Abstract: In this paper we first give formulae for sums of a fixed number of consecutive generalized Fibonacci numbers from the same residue class. Analogous alternating sums are also studied as well as various derived sums when terms are multiplied by binomial coefficients or members of some simple integer sequences. |
Keywords and phrases: generalized Fibonacci numbers, integer sequences, sum, alternating sum, binomials, Maple V. |
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