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.
%I A305205 #5 May 27 2018 19:46:44 %S A305205 1,-1,-2,-3,-4,30,274,1841,9358,32463,-41557,-2265846,-28939286, %T A305205 -272101778,-2038274408,-10494221259,9056975574,1244820826687, %U A305205 22703501504125,299864024917632,3221417281127823,26849622543478562,110101743392268978,-1810492304600468063 %N A305205 a(n) = [x^n] exp(-Sum_{k>=1} x^k/(k*(1 - x^k)^n)). %H A305205 N. J. A. Sloane, <a href="/transforms.txt">Transforms</a> %F A305205 a(n) = [x^n] Product_{k>=1} (1 - x^k)^binomial(n+k-2,n-1). %t A305205 Table[SeriesCoefficient[Exp[-Sum[x^k/(k (1 - x^k)^n), {k, 1, n}]], {x, 0, n}], {n, 0, 23}] %t A305205 Table[SeriesCoefficient[Product[(1 - x^k)^Binomial[n + k - 2, n - 1], {k, 1, n}], {x, 0, n}], {n, 0, 23}] %Y A305205 Cf. A073592, A292386, A292387, A293554, A305206. %K A305205 sign %O A305205 0,3 %A A305205 _Ilya Gutkovskiy_, May 27 2018