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.

A376039 E.g.f. satisfies A(x) = (-log(1 - x / (1 - A(x))^3)) * (1 - A(x)).

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%I A376039 #12 Sep 08 2024 13:48:01
%S A376039 0,1,5,65,1376,40454,1523464,69979734,3794288280,237186275520,
%T A376039 16794542216088,1328558461234080,116126748206895216,
%U A376039 11114654375545182864,1156103394150386866560,129855826037621953356864,15664344145032570448561920,2019701492029961287845196032
%N A376039 E.g.f. satisfies A(x) = (-log(1 - x / (1 - A(x))^3)) * (1 - A(x)).
%H A376039 <a href="/index/Res#revert">Index entries for reversions of series</a>
%F A376039 a(n) = Sum_{k=1..n} (3*n-2)!/(3*n-k-1)! * |Stirling1(n,k)|.
%F A376039 E.g.f.: Series_Reversion( (1 - x)^3 * (1 - exp(-x / (1 - x))) ).
%o A376039 (PARI) a(n) = sum(k=1, n, (3*n-2)!/(3*n-k-1)!*abs(stirling(n, k, 1)));
%Y A376039 Cf. A376038, A376040, A376041.
%K A376039 nonn
%O A376039 0,3
%A A376039 _Seiichi Manyama_, Sep 07 2024