关于Horadam 2-参数广义混合数列的探讨

A Study on Horadam 2-Parameter Generalized Hybrid Sequence

为了推广Horadam混合数列,引入了Horadam 2-参数广义混合数列的概念,并在此基础上探讨了Hora⁃dam 2-参数广义混合数列的组合性质,包括其生成函数、Binet公式、求和公式以及一些重要的恒等式.此外,还给出了Horadam 2-参数广义混合数列的矩阵表示及其应用实例.

In order to further generalize the Horadam hybrid sequence,this paper introduces the concept of Horadam 2-parameter generalized hybrid sequence.Based on this,the combinatorial properties of the Horadam 2-parameter generalized hybrid sequence are explored,including its generating function,Binet formula,summation formula,and some important combination identities.In addition,the matrix representation and an application of the Horadam 2-parameter generalized hybrid sequence are also studied.