A113108 Triangle T, read by rows, equal to the matrix square of triangle A113106, which satisfies the recurrence: A113106(n,k) = [A113106^5](n-1,k-1) + [A113106^5](n-1,k).

1, 2, 1, 16, 12, 1, 440, 416, 62, 1, 43600, 48320, 10016, 312, 1, 16698560, 20765520, 5394320, 246016, 1562, 1, 26098464448, 35382716032, 10854556720, 646408320, 6116016, 7812, 1, 172513149018752, 250136469031744, 87213434633152

Offset: 0

Author

Paul D. Hanna, Oct 14 2005

Keywords

• nonn
• tabl

Examples

			Triangle begins:
1;
2,1;
16,12,1;
440,416,62,1;
43600,48320,10016,312,1;
16698560,20765520,5394320,246016,1562,1;
26098464448,35382716032,10854556720,646408320,6116016,7812,1; ...
		

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^2)[n+1,k+1])}