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.

A377790 Expansion of e.g.f. (1/x) * Series_Reversion( x/(1 - 3*log(1-x)) ).

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%I A377790 #12 Nov 07 2024 10:54:36
%S A377790 1,3,21,249,4302,98982,2860686,99779418,4081683744,191696903424,
%T A377790 10168315038360,601321398385320,39230551252853424,2799199551778309872,
%U A377790 216856533870111053520,18127987493141612555280,1626479163148212406506240,155902932291162161594016000
%N A377790 Expansion of e.g.f. (1/x) * Series_Reversion( x/(1 - 3*log(1-x)) ).
%H A377790 <a href="/index/Res#revert">Index entries for reversions of series</a>
%F A377790 a(n) = n! * Sum_{k=0..n} 3^k * |Stirling1(n,k)|/(n-k+1)!.
%o A377790 (PARI) my(N=20, x='x+O('x^N)); Vec(serlaplace(serreverse(x/(1-3*log(1-x)))/x))
%o A377790 (PARI) a(n) = n!*sum(k=0, n, 3^k*abs(stirling(n, k, 1))/(n-k+1)!);
%Y A377790 Cf. A138013, A377789.
%Y A377790 Cf. A371006.
%K A377790 nonn
%O A377790 0,2
%A A377790 _Seiichi Manyama_, Nov 07 2024