

A113378


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


8



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
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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>m1, B[i, j]=1, if(j==1, B[i, 1]=1, B[i, j]=(A^(3*j2))[ij+1, 1])); )); A=B); (A^3)[n+1, k+1]


CROSSREFS

Cf. A113370, A113389, A113379 (column 0), A113380 (column 1).
Sequence in context: A014621 A144006 A193966 * A178657 A257490 A156289
Adjacent sequences: A113375 A113376 A113377 * A113379 A113380 A113381


KEYWORD

nonn,tabl


AUTHOR

Paul D. Hanna, Nov 14 2005


STATUS

approved



