A362238 - OEIS

%I #9 Apr 12 2023 08:04:59

%S 1,1,2,12,60,460,3900,39438,456288,5896224,85230000,1349017560,

%T 23353941600,437432418696,8828284404576,190867622500800,

%U 4401749312069760,107859517575659520,2798352667710645120,76636669899079699776,2209235394261812751360

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

%F a(n) = n! * Sum_{i=0..n} Sum_{j=0..n-i} i^j * Stirling1(n-i-j,j)/(n-i-j)!.

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

%Y Cf. A202152, A362237.

%Y Cf. A002478, A099234, A099235.

%K nonn

%O 0,3

%A _Seiichi Manyama_, Apr 12 2023