广义Fibonacci数列的多重性

The Multiplicity of Generalized Fibonacci Sequences

设F={Fn} ∞n =0 是参数为 (a1,a2 )的广义Fibonacci数列 对于正整数k ,设N(k)是适合｜Fn｜=k的正整数n的个数 证明了 :当 (a1,a2 )是非例外参数时 ,N(k) ≤

Let F={F n} ∞ n=0  be the generalized Fibonacci sequence with the parameter(a 1,a 2).For a positive integer k,let N(k) denote the number of positive integers n with |F n|=k.In this paper we prove that if (a 1,a 2) is a non-exceptional parameter,then N(k)≤1.