cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A010826 Expansion of Product_{k>=1} (1 - x^k)^20.

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%I A010826 #22 Jul 08 2025 01:47:02
%S A010826 1,-20,170,-760,1615,476,-11210,22440,1615,-64600,60002,51680,-9520,
%T A010826 -213180,-83980,803528,-379525,-692360,119700,80920,1899830,-1235360,
%U A010826 -755990,-1200040,-1981435,8388956,-361760,-5068440
%N A010826 Expansion of Product_{k>=1} (1 - x^k)^20.
%D A010826 Morris Newman, A table of the coefficients of the powers of eta(tau), Nederl. Akad. Wetensch. Proc. Ser. A. 59 = Indag. Math. 18 (1956), 204-216.
%H A010826 Seiichi Manyama, <a href="/A010826/b010826.txt">Table of n, a(n) for n = 0..10000</a>
%H A010826 M. Boylan, <a href="http://dx.doi.org/10.1016/S0022-314X(02)00037-9">Exceptional congruences for the coefficients of certain eta-product newforms</a>, J. Number Theory 98 (2003), no. 2, 377-389.
%H A010826 <a href="/index/Pro#1mxtok">Index entries for expansions of Product_{k >= 1} (1-x^k)^m</a>
%F A010826 a(0) = 1, a(n) = -(20/n)*Sum_{k=1..n} A000203(k)*a(n-k) for n > 0. - _Seiichi Manyama_, Mar 27 2017
%F A010826 G.f.: exp(-20*Sum_{k>=1} x^k/(k*(1 - x^k))). - _Ilya Gutkovskiy_, Feb 05 2018
%K A010826 sign
%O A010826 0,2
%A A010826 _N. J. A. Sloane_