A353881 - OEIS

%I #13 May 09 2022 15:19:15

%S 1,0,0,0,0,0,20,210,1960,18900,194880,2166780,26356880,349806600,

%T 5029088064,77748751080,1284349422720,22551300670080,419191223208384,

%U 8222848137607680,169760091173740800,3679746265902067200,83564915096633308800,1984162781781147770880

%N Expansion of e.g.f. 1/(1 + (x * log(1-x))^3 / 36).

%F a(n) = n! * Sum_{k=0..floor(n/6)} (3*k)! * |Stirling1(n-3*k,3*k)|/(36^k * (n-3*k)!).

%o (PARI) my(N=30, x='x+O('x^N)); Vec(serlaplace(1/(1+(x*log(1-x))^3/36)))

%o (PARI) a(n) = n!*sum(k=0, n\6, (3*k)!*abs(stirling(n-3*k, 3*k, 1))/(36^k*(n-3*k)!));

%Y Cf. A052830, A353880, A353882.

%Y Cf. A346922, A353884.

%K nonn

%O 0,7

%A _Seiichi Manyama_, May 09 2022