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 A354613 #11 Jul 09 2022 11:05:27
%S A354613 1,0,2,-3,44,-210,2694,-23520,330672,-4168584,67622040,-1095648840,
%T A354613 20621674776,-403514963280,8734659594192,-199049377658040,
%U A354613 4894304369356800,-126907901533425600,3501394314254828352,-101643840316833194880,3112491474764866339200
%N A354613 Expansion of e.g.f. 1/(2 - (1 + x)^x).
%F A354613 a(0) = 1; a(n) = Sum_{k=1..n} A007113(k) * binomial(n,k) * a(n-k).
%o A354613 (PARI) my(N=30, x='x+O('x^N)); Vec(serlaplace(1/(2-(1+x)^x)))
%o A354613 (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, stirling(j-k, k, 1)/(j-k)!)*binomial(i, j)*v[i-j+1])); v;
%Y A354613 Cf. A007113, A354612.
%K A354613 sign
%O A354613 0,3
%A A354613 _Seiichi Manyama_, Jul 08 2022