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.
%I A371005 #11 Nov 07 2024 10:54:29
%S A371005 1,2,10,86,1074,17742,366026,9074102,263006050,8732015390,
%T A371005 326876957562,13624410416454,625859432308754,31418430350730542,
%U A371005 1711378030988087338,100535991279811936982,6336275006902469756610,426480351471985076800062
%N A371005 Expansion of e.g.f. (1/x) * Series_Reversion( x/(2*exp(x) - 1) ).
%H A371005 <a href="/index/Res#revert">Index entries for reversions of series</a>
%F A371005 a(n) = 1/(n+1) * Sum_{k=0..n+1} 2^k * (-1)^(n+1-k) * k^n * binomial(n+1,k).
%F A371005 a(n) = n! * Sum_{k=0..n} 2^k * Stirling2(n,k)/(n-k+1)!. - _Seiichi Manyama_, Nov 07 2024
%o A371005 (PARI) my(N=20, x='x+O('x^N)); Vec(serlaplace(serreverse(x/(2*exp(x)-1))/x))
%o A371005 (PARI) a(n) = sum(k=0, n+1, 2^k*(-1)^(n+1-k)*k^n*binomial(n+1, k))/(n+1);
%Y A371005 Cf. A000272, A371006.
%K A371005 nonn
%O A371005 0,2
%A A371005 _Seiichi Manyama_, Mar 08 2024