A113378 Triangle, read by rows, equal to the matrix cube of A113370.

1, 3, 1, 15, 12, 1, 136, 168, 21, 1, 1998, 3190, 483, 30, 1, 41973, 80136, 13615, 960, 39, 1, 1166263, 2553162, 469476, 35785, 1599, 48, 1, 40747561, 99579994, 19419225, 1562220, 74074, 2400, 57, 1, 1726907675, 4624245724, 944233801, 79072620

Offset

0,2

Links

Table of n, a(n) for n=0..39.

Formula

Column k of A113370^3 = column 0 of A113389^(3*k+1) for k>=0.

Example

Triangle A113370^3 begins:
1;
3,1;
15,12,1;
136,168,21,1;
1998,3190,483,30,1;
41973,80136,13615,960,39,1;
1166263,2553162,469476,35785,1599,48,1;
40747561,99579994,19419225,1562220,74074,2400,57,1;
1726907675,4624245724,944233801,79072620,3908034,132856,3363,66,1;

Prog

(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); (A^3)[n+1, k+1]

Crossrefs

Cf. A113370, A113389, A113379 (column 0), A113380 (column 1).

Sequence in context: A014621 A193966 A366120 * A365162 A178657 A257490

Adjacent sequences: A113375 A113376 A113377 * A113379 A113380 A113381

Keyword

nonn,tabl

Author

Paul D. Hanna, Nov 14 2005

Status

approved