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 A335629 #27 Oct 03 2020 08:02:19
%S A335629 1,1,2,11,40,241,1952,13691,96640,1124161,13770752,119165771,
%T A335629 1373271040,21966388081,297353879552,4935774720251,71240808202240,
%U A335629 589721910720001,20308058536804352,594276723452229131,4142005120030474240,73558191271194967921,5026768573876078641152,36395755978909448444411,-115943295497314720808960
%N A335629 Expansion of e.g.f. Product_{k>0} (1+sin(x)^k).
%H A335629 Seiichi Manyama, <a href="/A335629/b335629.txt">Table of n, a(n) for n = 0..400</a>
%F A335629 E.g.f.: exp( Sum_{k>0} (-sin(x))^k/(k*(sin(x)^k-1)) ).
%t A335629 nmax = 25; CoefficientList[Series[Product[1 + Sin[x]^k, {k, 1, nmax}], {x, 0, nmax}], x] * Range[0, nmax]! (* _Vaclav Kotesovec_, Oct 03 2020 *)
%o A335629 (PARI) N=40; x='x+O('x^N); Vec(serlaplace(eta(sin(x)^2)/eta(sin(x))))
%o A335629 (PARI) N=40; x='x+O('x^N); Vec(serlaplace(prod(k=1, N, 1+sin(x)^k)))
%o A335629 (PARI) N=40; x='x+O('x^N); Vec(serlaplace(exp(sum(k=1, N, (-sin(x))^k/(k*(sin(x)^k-1))))))
%Y A335629 Cf. A000009, A335626, A335630.
%K A335629 sign
%O A335629 0,3
%A A335629 _Seiichi Manyama_, Oct 02 2020
%E A335629 Two more terms from _Vaclav Kotesovec_, Oct 03 2020