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 A293193 #11 Oct 02 2017 18:57:17 %S A293193 1,1,4,33,384,5745,105120,2273985,56770560,1606455585,50810457600, %T A293193 1776342038625,68018227200000,2831056111508625,127263741276672000, %U A293193 6144722994699914625,317153340121153536000,17425813179911850338625,1015487574490836615168000,62559446107077837491198625 %N A293193 a(n) = n! * [x^n] exp(n*arctanh(x)). %F A293193 a(n) ~ phi^(5*n/2) * n^n / (5^(1/4) * exp(n)), where phi = A001622 = (1+sqrt(5))/2 is the golden ratio. - _Vaclav Kotesovec_, Oct 02 2017 %t A293193 Table[n! SeriesCoefficient[Exp[n ArcTanh[x]], {x, 0, n}], {n, 0, 19}] %t A293193 Table[n! SeriesCoefficient[Exp[n Sum[x^(2 k + 1)/(2 k + 1), {k, 0, Infinity}]], {x, 0, n}], {n, 0, 19}] %Y A293193 Cf. A000246. %K A293193 nonn %O A293193 0,3 %A A293193 _Ilya Gutkovskiy_, Oct 02 2017