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 A386532 #10 Jul 25 2025 02:17:06
%S A386532 1,1,1,1,2,16,316,12986,1004886,135218098,29704320346,10121902661146,
%T A386532 5129873988803026,3733767262251907596,3789310639383117177330,
%U A386532 5228858971600792496346106,9599732445822506117447745156,23009850124770465122843408990196,70822854191943114816789796493816596
%N A386532 E.g.f. A(x) satisfies A(x) = exp(x + x^4/24 * A'''(x)).
%F A386532 a(0) = 1; a(n) = a(n-1) + (1/24) * Sum_{k=0..n-1} (1 + k) * (2*k - 3*k^2 + k^3) * binomial(n-1,k) * a(k) * a(n-1-k).
%o A386532 (PARI) a_vector(n) = my(v=vector(n+1)); v[1]=1; for(i=1, n, v[i+1]=v[i]+sum(j=0, i-1, (1+j)*sum(k=1, 3, stirling(3, k, 1)*j^k)*binomial(i-1, j)*v[j+1]*v[i-j])/24); v;
%Y A386532 Cf. A385322, A386531.
%Y A386532 Cf. A386502.
%K A386532 nonn
%O A386532 0,5
%A A386532 _Seiichi Manyama_, Jul 24 2025