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 A381052 #27 Apr 19 2025 11:06:33
%S A381052 0,0,1,12,101,755,5494,40971,323658,2764926,25811091,263989242,
%T A381052 2951126991,35886116097,472073225688,6682068553689,101277082202580,
%U A381052 1636520039991324,28084499373387141,510104266923895272,9776178108160101369,197153249728184351919,4173367143545298444186
%N A381052 Expansion of e.g.f. log(1 - x)^2 * exp(3*x) / 2.
%F A381052 a(n) = Sum_{k=2..n} 3^(n-k) * binomial(n,k) * |Stirling1(k,2)|.
%o A381052 (PARI) a(n) = sum(k=2, n, 3^(n-k)*binomial(n, k)*abs(stirling(k, 2, 1)));
%Y A381052 Column k=2 of A327997.
%Y A381052 Cf. A381021.
%K A381052 nonn
%O A381052 0,4
%A A381052 _Seiichi Manyama_, Apr 19 2025