A113394 Triangle, read by rows, equal to the matrix cube of triangle A113389.

1, 9, 1, 99, 18, 1, 1569, 360, 27, 1, 34344, 9051, 783, 36, 1, 980487, 284148, 26820, 1368, 45, 1, 34930455, 10865358, 1089126, 59250, 2115, 54, 1, 1502349459, 494019714, 51784137, 2946456, 110715, 3024, 63, 1, 76058669082, 26168502684

Offset

0,2

Links

Table of n, a(n) for n=0..37.

Formula

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

Example

Triangle A113389^3 begins:
1;
9,1;
99,18,1;
1569,360,27,1;
34344,9051,783,36,1;
980487,284148,26820,1368,45,1;
34930455,10865358,1089126,59250,2115,54,1;
1502349459,494019714,51784137,2946456,110715,3024,63,1;
76058669082,26168502684,2840586075,167137110,6510780,185589,4095,72,1;

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); (matrix(#A, #A, r, c, if(r>=c, (A^(3*c))[r-c+1, 1]))^3)[n+1, k+1]

Crossrefs

Cf. A113389, A113395 (column 0); recurrence: A091351, A113355.

Sequence in context: A051380 A374504 A136238 * A243754 A254932 A223511

Adjacent sequences: A113391 A113392 A113393 * A113395 A113396 A113397

Keyword

nonn,tabl

Author

Paul D. Hanna, Nov 14 2005

Status

approved