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.

A086555 E.g.f. satisfies F(x) = 1/2 * (F(-log(1-x)) + x).

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%I A086555 #15 Jul 01 2025 05:56:34
%S A086555 1,1,5,47,719,16299,513253,21430513,1145710573,76317960163,
%T A086555 6197399680779,602640663660199,69134669061681469,9239224408001877873,
%U A086555 1422887941494773642817,250160794466824215921275
%N A086555 E.g.f. satisfies F(x) = 1/2 * (F(-log(1-x)) + x).
%H A086555 Vaclav Kotesovec, <a href="/A086555/b086555.txt">Table of n, a(n) for n = 1..250</a>
%F A086555 a(n) = Sum_{k=1..n-1} |Stirling1(n, k)|*a(k).
%F A086555 a(n) ~ A260932 * n!^2 / (2^n * log(2)^n * n^(1 - log(2)/3)). - _Vaclav Kotesovec_, Jul 01 2025
%t A086555 Clear[a]; a[1] = 1; a[n_] := a[n] = Sum[Abs[StirlingS1[n, k]]*a[k], {k, 1, n-1}]; Table[a[n], {n, 1, 20}] (* _Vaclav Kotesovec_, May 29 2019 *)
%Y A086555 Cf. A005121, A260932.
%Y A086555 For a signed version see A246040.
%K A086555 nonn
%O A086555 1,3
%A A086555 _Vladeta Jovovic_, Sep 14 2003