A371159 - OEIS

%I #10 Mar 13 2024 12:20:41

%S 1,0,0,6,24,60,1080,9240,80640,1058400,13759200,190935360,3053635200,

%T 51632380800,941283383040,18521494992000,387100672358400,

%U 8613563883724800,203100697223424000,5053907407233484800,132496193336322816000,3648203578700448768000

%N Expansion of e.g.f. 1/(1 - x^2 - x^3)^x.

%F a(n) = n! * Sum_{j=0..floor(n/2)} Sum_{k=0..j} binomial(j,n-2*j-k) * |Stirling1(j,k)|/j!.

%o (PARI) a(n) = n!*sum(j=0, n\2, sum(k=0, j, binomial(j, n-2*j-k)*abs(stirling(j, k, 1))/j!));

%Y Cf. A088369, A371160.

%K nonn

%O 0,4

%A _Seiichi Manyama_, Mar 13 2024