A377790 - OEIS

%I #12 Nov 07 2024 10:54:36

%S 1,3,21,249,4302,98982,2860686,99779418,4081683744,191696903424,

%T 10168315038360,601321398385320,39230551252853424,2799199551778309872,

%U 216856533870111053520,18127987493141612555280,1626479163148212406506240,155902932291162161594016000

%N Expansion of e.g.f. (1/x) * Series_Reversion( x/(1 - 3*log(1-x)) ).

%H <a href="/index/Res#revert">Index entries for reversions of series</a>

%F a(n) = n! * Sum_{k=0..n} 3^k * |Stirling1(n,k)|/(n-k+1)!.

%o (PARI) my(N=20, x='x+O('x^N)); Vec(serlaplace(serreverse(x/(1-3*log(1-x)))/x))

%o (PARI) a(n) = n!*sum(k=0, n, 3^k*abs(stirling(n, k, 1))/(n-k+1)!);

%Y Cf. A138013, A377789.

%Y Cf. A371006.

%K nonn

%O 0,2

%A _Seiichi Manyama_, Nov 07 2024