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 A382701 #22 Apr 19 2025 11:06:37
%S A382701 0,0,0,1,18,215,2205,21469,209356,2111318,22448130,254297241,
%T A382701 3083362326,40046861205,556384764663,8248646054349,130120383122136,
%U A382701 2177629350914412,38552967519050628,720104832324072081,14154891429467595258,292132391046470467443,6316572474787017069297
%N A382701 Expansion of e.g.f. -log(1 - x)^3 * exp(3*x) / 6.
%F A382701 a(n) = Sum_{k=3..n} 3^(n-k) * binomial(n,k) * |Stirling1(k,3)|.
%o A382701 (PARI) a(n) = sum(k=3, n, 3^(n-k)*binomial(n, k)*abs(stirling(k, 3, 1)));
%Y A382701 Column k=3 of A327997.
%Y A382701 Cf. A381022.
%K A382701 nonn
%O A382701 0,5
%A A382701 _Seiichi Manyama_, Apr 19 2025