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A113360 Matrix cube of triangle A113340. 9
1, 3, 1, 12, 9, 1, 69, 81, 15, 1, 560, 879, 210, 21, 1, 6059, 11739, 3285, 399, 27, 1, 83215, 190044, 59395, 8127, 648, 33, 1, 1399161, 3654814, 1241270, 184436, 16245, 957, 39, 1, 28020221, 81947221, 29720808, 4695719, 442890, 28479, 1326, 45, 1 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Table of n, a(n) for n=0..44.

EXAMPLE

Triangle begins:

1;

3,1;

12,9,1;

69,81,15,1;

560,879,210,21,1;

6059,11739,3285,399,27,1;

83215,190044,59395,8127,648,33,1;

1399161,3654814,1241270,184436,16245,957,39,1;

28020221,81947221,29720808,4695719,442890,28479,1326,45,1; ...

PROG

(PARI) T(n, k)=local(A, B); A=matrix(1, 1); A[1, 1]=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^(2*j-1))[i-j+1, 1])); )); A=B); (A^3)[n+1, k+1]

CROSSREFS

Cf. A113340, A113350, A113361 (column 1), A113362 (column 2), A113363 (column 3), A113364 (column 4); A113345 (A113340^2).

Sequence in context: A144353 A039811 A046089 * A089434 A268298 A291418

Adjacent sequences:  A113357 A113358 A113359 * A113361 A113362 A113363

KEYWORD

nonn,tabl

AUTHOR

Paul D. Hanna, Nov 08 2005

STATUS

approved

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Last modified March 19 04:23 EDT 2019. Contains 321311 sequences. (Running on oeis4.)