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 A353910 #6 May 11 2022 10:37:13
%S A353910 1,-2,1,-28,21,-146,1023,-56400,84745,-975502,10925883,-57795112,
%T A353910 1994183205,-32047567540,489891177051,-43944425632000,158096182329585,
%U A353910 -3254060029210454,64115697136312563,-921897484040044728,31920276313015362525,-812922524976721463020
%N A353910 Product_{n>=1} 1 / (1 - a(n)*x^n/n!) = 1 + sinh(x).
%t A353910 nn = 22; f[x_] := Product[1/(1 - a[n] x^n/n!), {n, 1, nn}]; sol = SolveAlways[0 == Series[f[x] - 1 - Sinh[x], {x, 0, nn}], x]; Table[a[n], {n, 1, nn}] /. sol // Flatten
%Y A353910 Cf. A353608, A353873, A353911, A353912.
%K A353910 sign
%O A353910 1,2
%A A353910 _Ilya Gutkovskiy_, May 10 2022