OFFSET
0,3
EXAMPLE
G.f.: A(x) = 1 + x + 3*x^2 + 12*x^3 + 65*x^4 + 384*x^5 + 2197*x^6 +...
where
log(A(x)) = (1 + x)^2*x + (1+2^3*x+x^2)^2*x^2/2 + (1+3^3*x+3^3*x^2+x^3)^2*x^3/3 + (1+4^3*x+6^3*x^2+4^3*x^3+x^4)^2*x^4/4 +...
More explicitly,
log(A(x)) = x + 5*x^2/2 + 28*x^3/3 + 205*x^4/4 + 1506*x^5/5 + 10016*x^6/6 +...
PROG
(PARI) {a(n)=polcoeff(exp(sum(m=1, n, sum(k=0, m, binomial(m, k)^3*x^k)^2*x^m/m)+x*O(x^n)), n)}
CROSSREFS
KEYWORD
nonn
AUTHOR
Paul D. Hanna, Oct 03 2011
STATUS
approved