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

0,4

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.

Links

Table of n, a(n) for n=0..21.

Example

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.

Prog

(PARI)

Crossrefs

Cf. A126470, A126471.

Sequence in context: A252786 A108217 A120120 * A019059 A305446 A334793

Adjacent sequences: A126469 A126470 A126471 * A126473 A126474 A126475

Keyword

nonn

Author

Paul D. Hanna, Dec 31 2006

Status

approved