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 A353831 #26 May 11 2022 22:46:11
%S A353831 1,2,3,12,34,139,610,3046,15604,88460,526274,3344037,22270254,
%T A353831 156359026,1146627256,8796070308,70227355786,583404596184,
%U A353831 5027823752930,44907492540298,414877525216196,3960083715148092,38996757506464858,395754951565246801,4134132167169618654,44409616948511664062
%N A353831 Product_{n>=1} (1 + a(n)*x^n) = Sum_{n>=0} Bell(n)*x^n, where Bell = A000110.
%t A353831 A[m_, n_] := A[m, n] = Which[m == 1, BellB[n], m > n >= 1, 0, True, A[m - 1, n] - A[m - 1, m - 1] A[m, n - m + 1]]; a[n_] := A[n, n]; a /@ Range[1, 26]
%Y A353831 Cf. A000110, A085686, A157161, A305846.
%K A353831 nonn
%O A353831 1,2
%A A353831 _Ilya Gutkovskiy_, May 11 2022