  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.
