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 A352404 #20 May 15 2022 12:14:32
%S A352404 1,-1,5,-35,204,-1294,16862,-225266,2346712,-31689336,558727872,
%T A352404 -9891952608,185546362416,-3668674300992,83728926109488,
%U A352404 -2078005263610704,50908186083448320,-1343594571773137536,38998680958184088960,-1181298578244977897856,37029733866954589964544
%N A352404 Product_{n>=1} (1 + x^n)^(a(n)/n!) = 1 + log(1 + x).
%F A352404 Product_{n>=1} (1 + x^n)^(a(n)/n!) = 1 - Sum_{n>=1} (-x)^n/n.
%t A352404 b[n_, i_] := b[n, i] = If[n == 0, 1, If[i < 1, 0, Sum[Binomial[c[i], j] b[n - i j, i - 1], {j, 0, n/i}]]]; c[n_] := c[n] = (-1)^(n + 1)/n - b[n, n - 1]; a[n_] := n! c[n]; Table[a[n], {n, 1, 21}]
%Y A352404 Cf. A157159, A157164, A348205, A348206, A352664, A352691, A352953.
%K A352404 sign
%O A352404 1,3
%A A352404 _Ilya Gutkovskiy_, May 15 2022