A113387 Triangle, read by rows, equal to the matrix cube of A113381.

1, 6, 1, 48, 15, 1, 605, 255, 24, 1, 11196, 5630, 624, 33, 1, 280440, 159210, 19484, 1155, 42, 1, 8981460, 5584635, 731664, 46541, 1848, 51, 1, 353283128, 236051661, 32532732, 2173248, 91175, 2703, 60, 1, 16567072675, 11741443007, 1683566556

Offset: 0

Author

Paul D. Hanna, Nov 14 2005

Keywords

• nonn
• tabl

Examples

			Triangle A113381^3 begins:
1;
6,1;
48,15,1;
605,255,24,1;
11196,5630,624,33,1;
280440,159210,19484,1155,42,1;
8981460,5584635,731664,46541,1848,51,1;
353283128,236051661,32532732,2173248,91175,2703,60,1;
16567072675,11741443007,1683566556,116647443,5086116,157760,3720,69,1;
		

Crossrefs

Cf. A113381, A113388 (column 0), A113389.

Programs

PARI

T(n,k)=local(A,B);A=Mat(1);for(m=2,n+1,B=matrix(m,m); for(i=1,m, for(j=1,i,if(i<3 || j==i || j>m-1,B[i,j]=1,if(j==1, B[i,1]=1,B[i,j]=(A^(3*j-2))[i-j+1,1]));));A=B); (matrix(#A,#A,r,c,if(r>=c,(A^(3*c-1))[r-c+1,1]))^3)[n+1,k+1]

Formula

Column k of A113381^3 = column 0 of A113389^(3*k+2) for k>=0.