Lucas数的组合恒等式——微分方法

Equation about generalized Fibonacci sequence

在组合数论中,涉及广义Lucas数的恒等式是一个非常深入和永久的问题,在相关研究中,发生函数的方法是证明和得到组合恒等式的一个基本而重要的方法.本文通过发生函数的方法并结合微分,得到了关于广义Lucas数的组合恒等式.

In combinatorial number theory,the problem of identities involving the generalized Lucas numbers is thorough and far back.There are many methods to study combinatorial identity,of which the generating function is basic and important.In this paper,through generating function and integrating,we get several equations about the generalized Lucas.