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 A354610 #10 Jul 09 2022 11:05:16
%S A354610 1,0,-2,-3,16,90,-84,-2940,-8672,95256,956160,-811800,-75724296,
%T A354610 -419150160,4406562720,78306555600,89704074240,-9655388184960,
%U A354610 -97621097227200,657339885653760,23680733504400000,119677890314505600,-3528587069869276800,-64401874868363598720
%N A354610 Expansion of e.g.f. exp(f(x) - 1) where f(x) = (1 - x)^x = e.g.f. for A007114.
%F A354610 a(0) = 1; a(n) = Sum_{k=1..n} A007114(k) * binomial(n-1,k-1) * a(n-k).
%o A354610 (PARI) my(N=30, x='x+O('x^N)); Vec(serlaplace(exp((1-x)^x-1)))
%o A354610 (PARI) a_vector(n) = my(v=vector(n+1)); v[1]=1; for(i=1, n, v[i+1]=sum(j=1, i, j!*sum(k=0, j\2, (-1)^(j-k)*stirling(j-k, k, 1)/(j-k)!)*binomial(i-1, j-1)*v[i-j+1])); v;
%Y A354610 Cf. A007114, A354611.
%K A354610 sign
%O A354610 0,3
%A A354610 _Seiichi Manyama_, Jul 08 2022