cp's OEIS Frontend

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.

A354730 E.g.f. A(x) satisfies: A(x) = 1 + x * A(-log(1-x)).

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%I A354730 #11 Jun 04 2022 09:41:57
%S A354730 1,1,2,9,68,750,11214,216559,5217176,152742528,5324034480,
%T A354730 217322508194,10248159667140,551968543756448,33627829222316770,
%U A354730 2298114390067518705,174893648144384932176,14727538317383970615352,1364522959678851181512504
%N A354730 E.g.f. A(x) satisfies: A(x) = 1 + x * A(-log(1-x)).
%F A354730 a(0) = 1; a(n) = n * Sum_{k=0..n-1} |Stirling1(n-1,k)| * a(k).
%F A354730 a(n) = n * A135750(n-1) for n>0.
%o A354730 (PARI) a_vector(n) = my(v=vector(n+1)); v[1]=1; for(i=1, n, v[i+1]=i*sum(j=0, i-1, abs(stirling(i-1, j, 1))*v[j+1])); v;
%Y A354730 Cf. A048801, A135750, A354729.
%K A354730 nonn
%O A354730 0,3
%A A354730 _Seiichi Manyama_, Jun 04 2022