OFFSET
0,2
LINKS
Vaclav Kotesovec, Table of n, a(n) for n = 0..200
FORMULA
G.f.: A(x) = (1/x)*Series_Reversion(x/F(x)) where F(x) = A(x/F(x)) is the g.f. of A232606.
Limit n->infinity a(n)^(1/n) = 16. - Vaclav Kotesovec, Jul 05 2014
EXAMPLE
G.f.: A(x) = 1 + 3*x + 19*x^2 + 159*x^3 + 1546*x^4 + 16517*x^5 + 188246*x^6 +...
where the g.f. satisfies:
(A(x) + x*A'(x)) / (A(x) - x*A(x)^2) = 1 + 2^2*x + 6^2*x^2 + 20^2*x^3 + 70^2*x^4 + 252^2*x^5 +...+ A000984(n)^2*x^n +...
PROG
(PARI) {a(n)=local(CB2=sum(k=0, n, binomial(2*k, k)^2*x^k)+x*O(x^n), A=1+x*O(x^n));
for(i=1, n, A = 1 + intformal( (CB2-1)*A/x - CB2*A^2)); polcoeff(A, n)}
for(n=0, 30, print1(a(n), ", "))
CROSSREFS
KEYWORD
nonn
AUTHOR
Paul D. Hanna, Nov 26 2013
STATUS
approved