A376292 - OEIS

%I #9 Sep 19 2024 11:06:25

%S 1,0,0,0,24,60,240,1260,169344,1693440,17150400,187941600,12778698240,

%T 271809457920,5031211086720,91848556800000,4643532967772160,

%U 154079136039628800,4367731446302515200,117143657916761548800,5457792037686441984000

%N E.g.f. satisfies A(x) = 1 - (x*A(x))^3 * log(1 - x*A(x)).

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

%F a(n) = (n!)^2 * Sum_{k=0..floor(n/4)} |Stirling1(n-3*k,k)|/( (n-3*k)! * (n-k+1)! ).

%F E.g.f.: (1/x) * Series_Reversion( x/(1 - x^3*log(1 - x)) ).

%o (PARI) a(n) = n!^2*sum(k=0, n\4, abs(stirling(n-3*k, k, 1))/((n-3*k)!*(n-k+1)!));

%Y Cf. A138013, A371121, A371138.

%K nonn

%O 0,5

%A _Seiichi Manyama_, Sep 19 2024