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 A364940 #17 Dec 01 2024 10:51:15 %S A364940 1,1,9,124,2525,68616,2338357,96004672,4616135001,254542038400, %T A364940 15839013320801,1098078537291264,83940831427695541, %U A364940 7014958697801657344,636298582947212386125,62261039244978489081856,6537251350698278868150833,733159568772947522820538368 %N A364940 E.g.f. satisfies A(x) = exp( x*A(x) / (1 - x*A(x))^3 ). %H A364940 <a href="/index/Res#revert">Index entries for reversions of series</a> %F A364940 a(n) = n! * Sum_{k=0..n} (n+1)^(k-1) * binomial(n+2*k-1,n-k)/k!. %F A364940 E.g.f.: (1/x) * Series_Reversion( x*exp(-x/(1 - x)^3) ). - _Seiichi Manyama_, Sep 23 2024 %o A364940 (PARI) a(n) = n!*sum(k=0, n, (n+1)^(k-1)*binomial(n+2*k-1, n-k)/k!); %Y A364940 Cf. A052873, A364939. %Y A364940 Cf. A091695. %K A364940 nonn %O A364940 0,3 %A A364940 _Seiichi Manyama_, Aug 14 2023