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.

A022663 Expansion of Product_{m>=1} (1 - m*q^m)^3.

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%I A022663 #26 Sep 08 2022 08:44:46
%S A022663 1,-3,-3,8,9,18,-35,-33,-66,-91,216,189,386,315,333,-1483,-2268,-2214,
%T A022663 -1883,-456,-801,23032,12186,22665,18622,-20328,-39549,-78834,-146838,
%U A022663 -249342,-146662,15678,564771,238159,1274913,1398063,1572593,1423266,-833778,-3484732,-5261736,-9671502
%N A022663 Expansion of Product_{m>=1} (1 - m*q^m)^3.
%C A022663 This sequence is obtained from the generalized Euler transform in A266964 by taking f(n) = -3, g(n) = n. - _Seiichi Manyama_, Dec 29 2017
%H A022663 Seiichi Manyama, <a href="/A022663/b022663.txt">Table of n, a(n) for n = 0..1000</a>
%F A022663 G.f.: exp(-3*Sum_{j>=1} Sum_{k>=1} k^j*x^(j*k)/j). - _Ilya Gutkovskiy_, Feb 07 2018
%t A022663 With[{nmax=34}, CoefficientList[Series[Product[(1-k*q^k)^3, {k,1,nmax}], {q, 0, nmax}],q]] (* _G. C. Greubel_, Feb 23 2018 *)
%o A022663 (PARI) m=50; q='q+O('q^m); Vec(prod(n=1,m,(1-n*q^n)^3)) \\ _G. C. Greubel_, Feb 23 2018
%o A022663 (Magma) Coefficients(&*[(1-m*x^m)^3:m in [1..40]])[1..40] where x is PolynomialRing(Integers()).1; // _G. C. Greubel_, Feb 23 2018
%Y A022663 Column k=3 of A297323.
%K A022663 sign
%O A022663 0,2
%A A022663 _N. J. A. Sloane_
%E A022663 More terms added by _G. C. Greubel_, Feb 23 2018