OFFSET
0,3
LINKS
Vaclav Kotesovec, Table of n, a(n) for n = 0..420
FORMULA
a(n) ~ c * (n-1)!, where c = Product_{k>=2} 1/(1-1/k!) = A247551 = 2.52947747207915264... . - Vaclav Kotesovec, Feb 19 2015
EXAMPLE
G.f.: A(x) = 1 + x + 2*x^2 + 5*x^3 + 17*x^4 + 69*x^5 + 352*x^6 +...
log(A(x)) = x + 3*x^2/2 + 10*x^3/3 + 47*x^4/4 + 246*x^5/5 + 1602*x^6/6 + 11481*x^7/7 + 95503*x^8/8 +...+ A005651(n)*x^n/n +...
PROG
(PARI) {a(n)=polcoeff(exp(intformal(1/x*(-1+serlaplace(1/prod(k=1, n+1, 1-x^k/k!+O(x^(n+2))))))), n)}
CROSSREFS
KEYWORD
nonn
AUTHOR
Paul D. Hanna, Jan 03 2011
STATUS
approved