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 A371147 #12 Sep 21 2024 12:44:27 %S A371147 1,0,0,6,12,40,2700,21168,173040,7611840,125415360,1848591360, %T A371147 71211998880,1844075600640,41500836336960,1609925690419200, %U A371147 55708371912211200,1719475797882286080,72091120665964654080,3046645011228998860800,119757727692451283097600 %N A371147 E.g.f. satisfies A(x) = 1/(1 - x*A(x))^(x^2*A(x)^2). %H A371147 <a href="/index/Res#revert">Index entries for reversions of series</a> %F A371147 a(n) = n! * Sum_{k=0..floor(n/3)} (n+1)^(k-1) * |Stirling1(n-2*k,k)|/(n-2*k)!. %F A371147 E.g.f.: (1/x) * Series_Reversion( x*(1 - x)^(x^2) ). - _Seiichi Manyama_, Sep 21 2024 %o A371147 (PARI) a(n) = n!*sum(k=0, n\3, (n+1)^(k-1)*abs(stirling(n-2*k, k, 1))/(n-2*k)!); %Y A371147 Cf. A184949, A371145. %K A371147 nonn %O A371147 0,4 %A A371147 _Seiichi Manyama_, Mar 13 2024