A354251 - OEIS

%I #9 May 21 2022 08:31:00

%S 1,6,726,365052,481186836,1312477120944,6422029618230000,

%T 51225621215200895520,621881012244669445985760,

%U 10911233517605729917096273920,265743399210784245852461349120000,8697920910678436598411074217669652480

%N Expansion of e.g.f. Sum_{k>=0} (3*k)! * (-log(1-x))^k / k!.

%F a(n) = Sum_{k=0..n} (3*k)! * |Stirling1(n,k)|.

%o (PARI) my(N=20, x='x+O('x^N)); Vec(serlaplace(sum(k=0, N, (3*k)!*(-log(1-x))^k/k!)))

%o (PARI) a(n) = sum(k=0, n, (3*k)!*abs(stirling(n, k, 1)));

%Y Cf. A007840, A354244.

%Y Cf. A316748, A353118, A354250.

%K nonn

%O 0,2

%A _Seiichi Manyama_, May 21 2022