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 A353873 #18 May 11 2022 10:37:09
%S A353873 1,-2,-1,-20,-19,94,-659,-29392,-38375,309458,-3578279,-31878824,
%T A353873 -476298835,5459426348,-85215100151,-12006576849152,-20903398375855,
%U A353873 314905758207466,-6399968826052559,-178647405711887800,-2394435177245209195,46569786580097365748
%N A353873 Product_{n>=1} 1 / (1 - a(n)*x^n/n!) = 1 + sin(x).
%t A353873 nn = 22; f[x_] := Product[1/(1 - a[n] x^n/n!), {n, 1, nn}]; sol = SolveAlways[0 == Series[f[x] - 1 - Sin[x], {x, 0, nn}], x]; Table[a[n], {n, 1, nn}] /. sol // Flatten
%Y A353873 Cf. A170914, A170915, A328186, A328191, A353607, A353910, A353911, A353912.
%K A353873 sign
%O A353873 1,2
%A A353873 _Ilya Gutkovskiy_, May 10 2022