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 A377790 #12 Nov 07 2024 10:54:36 %S A377790 1,3,21,249,4302,98982,2860686,99779418,4081683744,191696903424, %T A377790 10168315038360,601321398385320,39230551252853424,2799199551778309872, %U A377790 216856533870111053520,18127987493141612555280,1626479163148212406506240,155902932291162161594016000 %N A377790 Expansion of e.g.f. (1/x) * Series_Reversion( x/(1 - 3*log(1-x)) ). %H A377790 <a href="/index/Res#revert">Index entries for reversions of series</a> %F A377790 a(n) = n! * Sum_{k=0..n} 3^k * |Stirling1(n,k)|/(n-k+1)!. %o A377790 (PARI) my(N=20, x='x+O('x^N)); Vec(serlaplace(serreverse(x/(1-3*log(1-x)))/x)) %o A377790 (PARI) a(n) = n!*sum(k=0, n, 3^k*abs(stirling(n, k, 1))/(n-k+1)!); %Y A377790 Cf. A138013, A377789. %Y A377790 Cf. A371006. %K A377790 nonn %O A377790 0,2 %A A377790 _Seiichi Manyama_, Nov 07 2024