A113099 Triangle T, read by rows, equal to the matrix cube of triangle A113095, which satisfies the recurrence: A113095(n,k) = [A113095^4](n-1,k-1) + [A113095^4](n-1,k).
1, 3, 1, 27, 15, 1, 693, 513, 63, 1, 52812, 47619, 8289, 255, 1, 12628008, 13176189, 2920527, 131841, 1023, 1, 9924266772, 11586274263, 3078907929, 181929087, 2101761, 4095, 1, 26507035453923, 33825995695125, 10365262415703
Offset: 0
Examples
Triangle begins: 1; 3,1; 27,15,1; 693,513,63,1; 52812,47619,8289,255,1; 12628008,13176189,2920527,131841,1023,1; 9924266772,11586274263,3078907929,181929087,2101761,4095,1; ...
Programs
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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^4)[r-1,c-1])+(M^4)[r-1,c]))); return((M^3)[n+1,k+1])}