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Search: id:A121420
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A121420 Matrix cube of triangle A121412. +0
13
1, 3, 1, 12, 3, 1, 76, 15, 3, 1, 711, 118, 18, 3, 1, 9054, 1317, 169, 21, 3, 1, 147471, 19311, 2190, 229, 24, 3, 1, 2938176, 352636, 36360, 3378, 298, 27, 3, 1, 69328365, 7722840, 737051, 62655, 4929, 376, 30, 3, 1, 1891371807, 197354133, 17645187 (list; table; graph; listen)
OFFSET

0,2

COMMENT

Row n of triangle T=A121412 equals row (n-1) of T^(n+1) with an appended '1'.

EXAMPLE

Triangle begins:

1;

3, 1;

12, 3, 1;

76, 15, 3, 1;

711, 118, 18, 3, 1;

9054, 1317, 169, 21, 3, 1;

147471, 19311, 2190, 229, 24, 3, 1;

2938176, 352636, 36360, 3378, 298, 27, 3, 1;

69328365, 7722840, 737051, 62655, 4929, 376, 30, 3, 1; ...

PROGRAM

(PARI) {T(n, k)=local(A=Mat(1), B); for(m=1, n+1, B=matrix(m, m); for(i=1, m, for(j=1, i, if(j==i, B[i, j]=1, B[i, j]=(A^i)[i-1, j]); )); A=B); return((A^3)[n+1, k+1])}

CROSSREFS

Cf. A121412, A121416; A101479; columns: A121421, A121422, A121423.

Adjacent sequences: A121417 A121418 A121419 this_sequence A121421 A121422 A121423

Sequence in context: A048522 A118020 A124572 this_sequence A117375 A122844 A113369

KEYWORD

nonn,tabl

AUTHOR

Paul D. Hanna (pauldhanna(AT)juno.com), Aug 23 2006

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Last modified October 12 11:50 EDT 2008. Contains 144830 sequences.


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