A126472 Largest term in rows of triangle A126470, in which row sums equal factorials.

1, 1, 1, 3, 7, 26, 136, 784, 5189, 40639, 357638, 3472240, 37835023, 449901885, 5763035223, 79697811456, 1185091117180, 18789393725696, 316557520950918, 5664877511610114, 106815500916218123, 2123415404236087790

Offset: 0

Author

Paul D. Hanna, Dec 31 2006

Keywords

• nonn

Comments

In triangle A126470, row n lists coefficients of q in F(n,q) that satisfies: F(n,q) = Sum_{k=0..n-1} C(n-1,k)*F(k,q)*F(n-k-1,q)*q^k for n>0, with F(0,q) = 1.

Examples

			Row functions F(n,q) of triangle A126470 begin:
F(0,q) = F(1,q) = 1;
F(1,q) = 1 + q;
F(2,q) = 1 + 3*q + q^2 + q^3;
F(3,q) = 1 + 6*q + 7*q^2 + 5*q^3 + 3*q^4 + q^5 + q^6.
		

Crossrefs

Cf. A126470, A126471.

Programs

PARI