On the expansion of the power of any polynomial 1+x+x^2+x^3+x^4+etc Export

@misc{citeulike:3036287, abstract = {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.}, archivePrefix = {arXiv}, author = {Euler, Leonhard}, citeulike-article-id = {3036287}, citeulike-linkout-0 = {http://arxiv.org/abs/math/0505425}, citeulike-linkout-1 = {http://arxiv.org/pdf/math/0505425}, day = {20}, eprint = {math/0505425}, keywords = {available-in-tex-format, combinatorics, historical-work, mathematics}, month = {May}, posted-at = {2008-07-23 08:49:49}, priority = {2}, title = {On the expansion of the power of any polynomial 1+x+x^2+x^3+x^4+etc}, url = {http://arxiv.org/abs/math/0505425}, year = {2005} }

TY - ELEC ID - citeulike:3036287 L3 - citeulike-article-id:3036287 N2 - 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. TI - On the expansion of the power of any polynomial 1+x+x^2+x^3+x^4+etc KW - available-in-tex-format KW - combinatorics KW - historical-work KW - mathematics AU - Euler, Leonhard PY - 2005/May/20/ UR - http://arxiv.org/abs/math/0505425 ER -