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A126472 Largest term in rows of triangle A126470, in which row sums equal factorials. 2
1, 1, 1, 3, 7, 26, 136, 784, 5189, 40639, 357638, 3472240, 37835023, 449901885, 5763035223, 79697811456, 1185091117180, 18789393725696, 316557520950918, 5664877511610114, 106815500916218123, 2123415404236087790 (list; graph; refs; listen; history; text; internal format)
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

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Last modified April 16 10:04 EDT 2021. Contains 343036 sequences. (Running on oeis4.)