A362237 - OEIS

%I #9 Apr 12 2023 08:05:07

%S 1,1,2,12,84,700,7140,84798,1148448,17508384,296577360,5525645400,

%T 112311096480,2473005981576,58642262698656,1489908226161600,

%U 40377279733096320,1162635170476462080,35446505436393782400,1140734265246337985856,38643098112640927503360

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

%F a(n) = n! * Sum_{i=0..n} (-1)^(n-i) * ( 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. A347726, A362238.

%K nonn

%O 0,3

%A _Seiichi Manyama_, Apr 12 2023