包含Pell递归系数二项式和的一般形式

General Form Containing Pell Recursion Coefficient Binomial

本文利用Pell数的Binet公式,给出了包含二项式系数和Pelly序列的恒等式的一般形式,其特殊情况包括已有的恒等式,由此可以得到一类新的恒等式.

This paper uses Binet formula of Pelt number, to give the general form of identity that contain bino- mial coefficient and Pell sequence. The special cases of this general form contain existing identities, with which a class of new identity can be obtained.