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 A357088 #8 Sep 11 2022 10:07:10
%S A357088 1,0,1,3,16,135,1246,14238,192613,2948025,51071236,985911003,
%T A357088 20952667660,486857940660,12275673296251,333786662478363,
%U A357088 9737819506544272,303399477464036175,10054949172135522106,353197317869395005258,13108298181041284002769
%N A357088 E.g.f. satisfies A(x) * log(A(x)) = (exp(x*A(x)) - 1)^2 / 2.
%F A357088 a(n) = Sum_{k=0..floor(n/2)} (2*k)! * (n-k+1)^(k-1) * Stirling2(n,2*k)/(2^k * k!).
%o A357088 (PARI) a(n) = sum(k=0, n\2, (2*k)!*(n-k+1)^(k-1)*stirling(n, 2*k, 2)/(2^k*k!));
%Y A357088 Cf. A349588, A357089.
%K A357088 nonn
%O A357088 0,4
%A A357088 _Seiichi Manyama_, Sep 11 2022