A168590 G.f.: exp( Sum_{n>=1} A168591(n)*x^n/n ), where A168591(n) = sum of the n-th power of the trinomial coefficients in row n of triangle A027907.

1, 3, 14, 310, 71399, 153056789, 2826352872319, 445742192193898313, 602479884829000885595175, 7000510736697461064666950774905, 701725717683874683612335083605682943282

Offset: 0

Author

Paul D. Hanna, Dec 01 2009

Keywords

• nonn

Examples

			G.f.: A(x) = 1 + 3*x + 14*x^2 + 310*x^3 + 71399*x^4 +...
log(A(x)) = 3*x + 19*x^2/2 + 831*x^3/3 + 281907*x^4/4 +...+ A168591(n)*x^n/n +...
		

Crossrefs

Cf. A168591, A168592, A168593, A027907.

Programs

PARI

{a(n)=if(n==0,1,polcoeff(exp(sum(m=1,n,sum(k=0,2*m,polcoeff((1+x+x^2)^m,k)^m)*x^m/m) +x*O(x^n)),n))}