OFFSET
1,2
COMMENTS
FORMULA
a(n) = (n+1) * A201732(n+1).
EXAMPLE
Let G(x) = log(1/(2-exp(x))) then the coefficients of x^n/n! in the k-th iteration of G(x) begin:
k=1: [(1), 2, 6, 26, 150, 1082, 9366, 94586, ..., A000629(n-1), ...];
k=2: [1,(4), 24, 196, 2040, 25924, 390264, 6804676, ..., A201338(n), ...];
k=3: [1, 6,(54), 654, 9990, 184686, 4015494, 100531374, ...];
k=4: [1, 8, 96, (1544), 31200, 760328, 21721056, 712459784, ...];
k=5: [1, 10, 150, 3010, (75750), 2295010, 81378150, 3307983010, ...];
k=6: [1, 12, 216, 5196, 156600, (5676492), 240593976, 11679764556, ...];
k=7: [1, 14, 294, 8246, 289590, 12224534, (603041334), 34053651926, ...];
k=8: [1, 16, 384, 12304, 493440, 23777296, 1338417024, (86210654224), ...]; ...
where the coefficients in parenthesis form the initial terms of this sequence.
PROG
(PARI) {a(n)=n!*polcoeff(log((n - (n-1)*exp(x+x*O(x^n)))/(n+1 - n*exp(x+x*O(x^n)))), n)}
CROSSREFS
KEYWORD
nonn
AUTHOR
Paul D. Hanna, Dec 04 2011
STATUS
approved