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 A298985 #12 Sep 23 2018 16:29:42 %S A298985 1,1,8,54,496,5400,73728,1204322,23167808,512093178,12781430600, %T A298985 355128859129,10863077554224,362572265689777,13107541496092960, %U A298985 510105773344747725,21258690342206888192,944467894258279964254,44555341678790400325512,2224158766859058600584834,117123916650423288611260400 %N A298985 a(n) = [x^n] Product_{k>=1} 1/(1 - n*x^k)^k. %H A298985 Vaclav Kotesovec, <a href="/A298985/b298985.txt">Table of n, a(n) for n = 0..380</a> %F A298985 a(n) ~ n^n. - _Vaclav Kotesovec_, Feb 02 2018 %p A298985 b:= proc(n, i, k) option remember; `if`(n=0, 1, `if`(i<1, 0, %p A298985 add(binomial(i+j-1, j)*b(n-i*j, i-1, k)*k^j, j=0..n/i))) %p A298985 end: %p A298985 a:= n-> b(n$3): %p A298985 seq(a(n), n=0..30); # _Alois P. Heinz_, Sep 23 2018 %t A298985 Table[SeriesCoefficient[Product[1/(1 - n x^k)^k, {k, 1, n}], {x, 0, n}], {n, 0, 20}] %Y A298985 Cf. A000219, A124577, A261561, A261565, A266941, A297329, A298986, A298987, A298988. %K A298985 nonn %O A298985 0,3 %A A298985 _Ilya Gutkovskiy_, Jan 31 2018