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 A335627 #21 Oct 03 2020 03:57:28 %S A335627 1,1,4,20,152,1216,13264,145760,2031872,28617856,480749824,8243878400, %T A335627 162085486592,3262756228096,73483961257984,1695754607421440, %U A335627 42992308610957312,1118097332524711936,31487163119164063744,910421423509984378880,28187970433553669292032,896242635855128514789376 %N A335627 Expansion of e.g.f. Product_{k>0} 1/(1-tan(x)^k). %H A335627 Vaclav Kotesovec, <a href="/A335627/b335627.txt">Table of n, a(n) for n = 0..200</a> %F A335627 E.g.f.: exp( Sum_{k>0} sigma(k)*tan(x)^k/k ). %t A335627 nmax = 25; CoefficientList[Series[Product[1/(1 - Tan[x]^k), {k, 1, nmax}], {x, 0, nmax}], x] * Range[0, nmax]! (* _Vaclav Kotesovec_, Oct 03 2020 *) %o A335627 (PARI) N=40; x='x+O('x^N); Vec(serlaplace(1/eta(tan(x)))) %o A335627 (PARI) N=40; x='x+O('x^N); Vec(serlaplace(1/prod(k=1, N, 1-tan(x)^k))) %o A335627 (PARI) N=40; x='x+O('x^N); Vec(serlaplace(exp(sum(k=1, N, sigma(k)*tan(x)^k/k)))) %Y A335627 Cf. A000041, A000182, A335626, A335630. %K A335627 nonn %O A335627 0,3 %A A335627 _Seiichi Manyama_, Oct 02 2020