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

%I A126472 #4 Mar 30 2012 18:37:02
%S A126472 1,1,1,3,7,26,136,784,5189,40639,357638,3472240,37835023,449901885,
%T A126472 5763035223,79697811456,1185091117180,18789393725696,316557520950918,
%U A126472 5664877511610114,106815500916218123,2123415404236087790
%N A126472 Largest term in rows of triangle A126470, in which row sums equal factorials.
%C A126472 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.
%e A126472 Row functions F(n,q) of triangle A126470 begin:
%e A126472 F(0,q) = F(1,q) = 1;
%e A126472 F(1,q) = 1 + q;
%e A126472 F(2,q) = 1 + 3*q + q^2 + q^3;
%e A126472 F(3,q) = 1 + 6*q + 7*q^2 + 5*q^3 + 3*q^4 + q^5 + q^6.
%o A126472 (PARI)
%Y A126472 Cf. A126470, A126471.
%K A126472 nonn
%O A126472 0,4
%A A126472 _Paul D. Hanna_, Dec 31 2006