A113110 Triangle T, read by rows, equal to the matrix cube of triangle A113106, which satisfies the recurrence: A113106(n,k) = [A113106^5](n-1,k-1) + [A113106^5](n-1,k).

1, 3, 1, 33, 18, 1, 1251, 903, 93, 1, 173505, 151716, 22278, 468, 1, 94216515, 94758285, 17789766, 551778, 2343, 1, 210576669921, 235461277878, 53137278735, 2167944516, 13749903, 11718, 1, 2002383115518243, 2432344424403219

Offset: 0

Author

Paul D. Hanna, Oct 14 2005

Keywords

• nonn
• tabl

Examples

			Triangle begins:
1;
3,1;
33,18,1;
1251,903,93,1;
173505,151716,22278,468,1;
94216515,94758285,17789766,551778,2343,1;
210576669921,235461277878,53137278735,2167944516,13749903,11718,1;
		

Crossrefs

Cf. A113106.

Programs

PARI

{T(n,k)=local(M=matrix(n+1,n+1));for(r=1,n+1, for(c=1,r, M[r,c]=if(r==c,1,if(c>1,(M^5)[r-1,c-1])+(M^5)[r-1,c]))); return((M^3)[n+1,k+1])}