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 A383165 #10 Apr 18 2025 08:44:46
%S A383165 0,0,1,3,3,-10,-30,112,588,-2448,-18960,87296,911328,-4599296,
%T A383165 -61152000,335523840,5464904448,-32363874304,-627708979200,
%U A383165 3987441516544,90133968949248,-610866587369472,-15823700431503360,113884455221854208,3334995367266582528,-25385597162671308800
%N A383165 Expansion of e.g.f. log(1 + (exp(2*x) - 1)/2)^2 / 2.
%F A383165 a(n) = Sum{k=2..n} 2^(n-k) * Stirling2(n,k) * Stirling1(k,2).
%o A383165 (PARI) a(n) = sum(k=2, n, 2^(n-k)*stirling(n, k, 2)*stirling(k, 2, 1));
%Y A383165 Column k=2 of A209849.
%Y A383165 Cf. A009392, A383163.
%K A383165 sign
%O A383165 0,4
%A A383165 _Seiichi Manyama_, Apr 18 2025