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 A371119 #17 Sep 19 2024 14:43:06 %S A371119 1,0,2,3,52,305,4866,57337,1048776,18547713,407900710,9436057961, %T A371119 248501026236,7021087254337,217488458525898,7223642070331065, %U A371119 258233053457437456,9841074705853124609,399304906991091898830,17163110041947804495817,779646387683354742170820 %N A371119 E.g.f. satisfies A(x) = 1 + x*A(x)*(exp(x*A(x)) - 1). %H A371119 <a href="/index/Res#revert">Index entries for reversions of series</a> %F A371119 a(n) = (n!)^2 * Sum_{k=0..floor(n/2)} Stirling2(n-k,k)/( (n-k)! * (n-k+1)! ). %F A371119 E.g.f.: (1/x) * Series_Reversion( x/(1 + x*(exp(x) - 1)) ). - _Seiichi Manyama_, Sep 19 2024 %o A371119 (PARI) a(n) = n!^2*sum(k=0, n\2, stirling(n-k, k, 2)/((n-k)!*(n-k+1)!)); %Y A371119 Cf. A370988, A371115, A371120. %Y A371119 Cf. A000272, A371139, A376293. %Y A371119 Cf. A371121. %K A371119 nonn %O A371119 0,3 %A A371119 _Seiichi Manyama_, Mar 11 2024