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 A357350 #18 Sep 10 2024 04:16:48 %S A357350 0,1,5,62,1210,32464,1109988,46159364,2261784880,127625290704, %T A357350 8150589862080,581192861530368,45772039038334464,3945903751253912928, %U A357350 369585982325018567808,37372951572516507717120,4057994343926975346772992,470900282395259211311765760 %N A357350 E.g.f. satisfies A(x) = log(1 + x * exp(A(x))) * exp(2 * A(x)). %H A357350 Seiichi Manyama, <a href="/A357350/b357350.txt">Table of n, a(n) for n = 0..337</a> %H A357350 <a href="/index/Res#revert">Index entries for reversions of series</a> %F A357350 a(n) = Sum_{k=1..n} (n+2*k)^(k-1) * Stirling1(n,k). %F A357350 E.g.f.: Series_Reversion( exp(-x) * (exp(x * exp(-2*x)) - 1) ). - _Seiichi Manyama_, Sep 10 2024 %o A357350 (PARI) a(n) = sum(k=1, n, (n+2*k)^(k-1)*stirling(n, k, 1)); %Y A357350 Cf. A357349, A357351, A357423. %Y A357350 Cf. A162656. %K A357350 nonn %O A357350 0,3 %A A357350 _Seiichi Manyama_, Sep 25 2022