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 A292305 #8 Sep 14 2017 08:16:36 %S A292305 1,1,4,54,512,9375,186624,4117715,100663296,3099363912,100000000000, %T A292305 3423740047332,133741506723840,5451751918660554,244464150162276352, %U A292305 11823135040283203125,590295810358705651712,31435129951680797038726,1809934771463640728469504 %N A292305 a(n) = [x^n] Product_{k>=1} (1 + n^k*x^k). %H A292305 Vaclav Kotesovec, <a href="/A292305/b292305.txt">Table of n, a(n) for n = 0..380</a> %F A292305 a(n) = n^n * A000009(n). %F A292305 a(n) ~ exp(Pi*sqrt(n/3)) * n^(n-3/4) / (4*3^(1/4)). %t A292305 nmax = 20; Table[SeriesCoefficient[Product[(1+n^k*x^k), {k, 1, n}], {x, 0, n}], {n, 0, nmax}] %t A292305 Flatten[{1, Table[n^n*PartitionsQ[n], {n, 1, 20}]}] %Y A292305 Cf. A265949, A292190, A291698, A292306. %K A292305 nonn %O A292305 0,3 %A A292305 _Vaclav Kotesovec_, Sep 14 2017