A370937 - OEIS

A370937

Expansion of e.g.f. (1/x) * Series_Reversion( x*(1 - log(1+3*x)/3) ).

1, 1, 1, 3, 12, 54, 432, 2862, 29880, 311688, 3530952, 52947432, 694960560, 12339656640, 208855024128, 3885592056624, 84031138091520, 1688108258868480, 41851910546369280, 986544325475565696, 25610732492679696384, 720669291974958124800, 19681263432530494848000

(list; graph; refs; listen; history; text; internal format)

OFFSET

0,4

LINKS

Table of n, a(n) for n=0..22.

Index entries for reversions of series

FORMULA

a(n) = (1/(n+1)!) * Sum_{k=0..n} 3^(n-k) * (n+k)! * Stirling1(n,k).

PROG

(PARI) my(N=30, x='x+O('x^N)); Vec(serlaplace(serreverse(x*(1-log(1+3*x)/3))/x))

(PARI) a(n) = sum(k=0, n, 3^(n-k)*(n+k)!*stirling(n, k, 1))/(n+1)!;

CROSSREFS