A216585 G.f.: exp( Sum_{n>=1} A000984(n)*A002426(n)*x^n/n ), where A000984 is the central binomial coefficients and A002426 is the central trinomial coefficients.

1, 2, 11, 66, 485, 3842, 32712, 291568, 2697610, 25679316, 250190125, 2484270622, 25062816127, 256275246582, 2650947762450, 27697861115740, 291943603838698, 3101066786857876, 33167191013319532, 356924515784037128, 3862299973917286526, 42003704374124712172

Offset: 0

Author

Paul D. Hanna, Sep 09 2012

Keywords

• nonn

Examples

			G.f.: A(x) = 1 + 2*x + 11*x^2 + 66*x^3 + 485*x^4 + 3842*x^5 + 32712*x^6 +...
such that
log(A(x)) = 2*1*x + 6*3*x^2/2 + 20*7*x^3/3 + 70*19*x^4/4 + 252*51*x^5/5 + 924*141*x^6/6 +...+ A000984(n)*A002426(n)*x^n/n +...
		

Crossrefs

Cf. A216584, A216586, A002426, A000984.

Programs

PARI

{a(n)=polcoeff(exp(sum(m=1,n+1,binomial(2*m,m)*polcoeff((1+x+x^2)^m,m)*x^m/m+x*O(x^n))),n)}
for(n=0,30,print1(a(n),", "))

Formula

Logarithmic derivative yields A216584.