Geng Ji
Abstract
If real numbers an≠0,a1≠0 and an=an-1+an-2,n≥2,{ an} is called generalized Fibonacci's number.In this paper,the properties of generalized Fibonacci's number and sum of power series sum from n=0 to ∞ (ankxn),k=1,2,3 were discussed.
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If real numbers an≠0,a1≠0 and an=an-1+an-2,n≥2,{ an} is called generalized Fibonacci's number.In this paper,the properties of generalized Fibonacci's number and sum of power series sum from n=0 to ∞ (ankxn),k=1,2,3 were discussed.
Key concepts: Fibonacci number, Pisano period, Fibonacci polynomials, Series (stratigraphy), Mathematics, Combinatorics, Power series, Discrete mathematics