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.

A370941 Expansion of e.g.f. (1/x) * Series_Reversion( x*(1 + 2*log(1-x)) ).

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%I A370941 #10 Mar 06 2024 07:59:32
%S A370941 1,2,18,304,7668,259048,11001968,563728464,33857839360,2333472749376,
%T A370941 181558569560448,15743501573763456,1505641080366272640,
%U A370941 157445985444107880960,17872580693502293022720,2188829492626563123881472,287673783237906407512565760
%N A370941 Expansion of e.g.f. (1/x) * Series_Reversion( x*(1 + 2*log(1-x)) ).
%H A370941 <a href="/index/Res#revert">Index entries for reversions of series</a>
%F A370941 a(n) = (1/(n+1)!) * Sum_{k=0..n} 2^k * (n+k)! * |Stirling1(n,k)|.
%o A370941 (PARI) my(N=20, x='x+O('x^N)); Vec(serlaplace(serreverse(x*(1+2*log(1-x)))/x))
%o A370941 (PARI) a(n) = sum(k=0, n, 2^k*(n+k)!*abs(stirling(n, k, 1)))/(n+1)!;
%Y A370941 Cf. A258922, A370940.
%Y A370941 Cf. A370938.
%K A370941 nonn
%O A370941 0,2
%A A370941 _Seiichi Manyama_, Mar 06 2024