A375900 - OEIS

%I #12 Sep 02 2024 08:38:20

%S 1,3,21,237,3738,76212,1912350,57099816,1979628552,78224586240,

%T 3472089084072,171098204829120,9271248509444544,548011290335056272,

%U 35095593433694127696,2421035179995679335360,178997036386314294247680,14121215676864610247122560

%N E.g.f. satisfies A(x) = 1 / (1 + log(1 - x * A(x)^(1/3)))^3.

%F E.g.f.: B(x)^3, where B(x) is the e.g.f. of A052802.

%F E.g.f.: A(x) = ( (1/x) * Series_Reversion(x * (1 + log(1-x))) )^3.

%F a(n) = (3/(n+3)!) * Sum_{k=0..n} (n+k+2)! * |Stirling1(n,k)|.

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

%o (PARI) a(n) = 3*sum(k=0, n, (n+k+2)!*abs(stirling(n, k, 1)))/(n+3)!;

%Y Cf. A052802, A375899.

%Y Cf. A354122.

%K nonn

%O 0,2

%A _Seiichi Manyama_, Sep 01 2024