

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
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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..n1} C(n1,k)*F(k,q)*F(nk1,q)*q^k for n>0, with F(0,q) = 1.


LINKS



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



KEYWORD

nonn


AUTHOR



STATUS

approved



