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 A370934 #10 Mar 06 2024 07:59:24
%S A370934 1,1,7,84,1497,35676,1067931,38548980,1630600677,79132611420,
%T A370934 4334891782095,264625534657188,17815224081030129,1311349332273617196,
%U A370934 104778837463344022179,9031998822763725245268,835500403485829779202557,82557790782397502710806396
%N A370934 Expansion of e.g.f. (1/x) * Series_Reversion( x*(4 - exp(3*x))/3 ).
%H A370934 <a href="/index/Res#revert">Index entries for reversions of series</a>
%F A370934 a(n) = (1/(n+1)!) * Sum_{k=0..n} 3^(n-k) * (n+k)! * Stirling2(n,k).
%o A370934 (PARI) my(N=20, x='x+O('x^N)); Vec(serlaplace(serreverse(x*(4-exp(3*x))/3)/x))
%o A370934 (PARI) a(n) = sum(k=0, n, 3^(n-k)*(n+k)!*stirling(n, k, 2))/(n+1)!;
%Y A370934 Cf. A052894, A370894.
%Y A370934 Cf. A258923.
%K A370934 nonn
%O A370934 0,3
%A A370934 _Seiichi Manyama_, Mar 06 2024