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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.

A010817 Expansion of Product_{k>=1} (1 - x^k)^9.

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%I A010817 #31 Apr 22 2025 04:04:53
%S A010817 1,-9,27,-12,-90,135,54,-99,-189,-85,657,-162,-135,-171,-810,702,495,
%T A010817 837,-673,-900,243,-1053,-297,1566,2700,-1764,81,-1188,-1377,270,
%U A010817 -2043,3321,-756,3726,3015,-4563,-3348,504,-351,-1350,-468
%N A010817 Expansion of Product_{k>=1} (1 - x^k)^9.
%D A010817 Newman, Morris; 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 A010817 Seiichi Manyama, <a href="/A010817/b010817.txt">Table of n, a(n) for n = 0..10000</a>
%H A010817 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. MR1955423 (2003k:11071)
%H A010817 M. Newman, <a href="/A000727/a000727.pdf">A table of the coefficients of the powers of eta(tau)</a>, Nederl. Akad. Wetensch. Proc. Ser. A. 59 = Indag. Math. 18 (1956), 204-216. [Annotated scanned copy]
%H A010817 <a href="/index/Pro#1mxtok">Index entries for expansions of Product_{k >= 1} (1-x^k)^m</a>
%F A010817 a(0) = 1, a(n) = -(9/n)*Sum_{k=1..n} A000203(k)*a(n-k) for n > 0. - _Seiichi Manyama_, Mar 27 2017
%F A010817 G.f.: exp(-9*Sum_{k>=1} x^k/(k*(1 - x^k))). - _Ilya Gutkovskiy_, Feb 05 2018
%o A010817 (Julia) # DedekindEta is defined in A000594.
%o A010817 A010817List(len) = DedekindEta(len, 9)
%o A010817 A010817List(41) |> println # _Peter Luschny_, Mar 10 2018
%Y A010817 Cf. A000203.
%K A010817 sign
%O A010817 0,2
%A A010817 _N. J. A. Sloane_