OFFSET
0,3
LINKS
Vaclav Kotesovec, Table of n, a(n) for n = 0..350
FORMULA
a(n) ~ 2^(n+1) * n! / (3^(3/2) * (log(3))^(n+1)). - Vaclav Kotesovec, Nov 01 2014
EXAMPLE
G.f.: A(x) = 1 + x + 3*x^2 + 15*x^3 + 105*x^4 + 933*x^5 + 10023*x^6 +...
where
A(x) = 1 + x/(1-x) + 2!*x^2/((1-x)*(1-3*x)) + 3!*x^3/((1-x)*(1-3*x)*(1-5*x)) + 4!*x^4/((1-x)*(1-3*x)*(1-5*x)*(1-7*x)) +...
PROG
(PARI) {a(n)=polcoeff(sum(m=0, n, m!*x^m/prod(k=1, m, 1-(2*k-1)*x+x*O(x^n))), n)}
CROSSREFS
KEYWORD
nonn
AUTHOR
Paul D. Hanna, Jul 22 2011
STATUS
approved