关于多项式1+x+x^2+x^3+x^4+等的幂展开式
On the expansion of the power of any polynomial 1+x+x^2+x^3+x^4+etc
摘要：
本文给出了一般三项系数为二项式系数之和，一般四项式系数为二项式系数与三项式系数之和，一般五项式系数为二项式系数与四项式系数之和，并给出了任意多项式（1+x+x^2+.+）展开式的系数的一般确定方法. x（m）^n作为较低次多项式系数的系数之和。
英文摘要：
In this paper, Euler gives the general trionomial coefficient as a sum of the binomial coefficients, the general quadrinomial coefficient as a sum of the binomial and trinomial coefficients, the general quintonomial coefficient as a sum of the binomial and quadrinomial coefficients, and gives a general determination of the coefficients of the expansion of any polynomial (1+x+x^2+...+x^m)^n as a sum of the coefficients of lower degree polynomial coefficients.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
