斐波那契多项式与斐波那契数列

Fibonacci polynomials and Fibonacci sequences

给出斐波那契多项式的k解析表达式,证明其系数表构成斜杨辉三角形。采用数学归纳法直接证明斐波那契数列的k步中项公式。

We obtain the analytic representation of Fibonacci polynomials in the first section and prove that their coefficient table constitues a slant Yang Hui triangle.In the second section,using direct methed,we directhy prove the k_step mean term formula of Fibenacci sequences with mathematical inductive method.