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Search: id:A121416
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A121416 Matrix square of triangle A121412. +0
13
1, 2, 1, 7, 2, 1, 43, 9, 2, 1, 403, 69, 11, 2, 1, 5188, 769, 101, 13, 2, 1, 85569, 11346, 1305, 139, 15, 2, 1, 1725291, 208914, 21745, 2043, 183, 17, 2, 1, 41145705, 4613976, 443329, 37971, 3015, 233, 19, 2, 1, 1133047596, 118840164, 10679494, 850260 (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;

2, 1;

7, 2, 1;

43, 9, 2, 1;

403, 69, 11, 2, 1;

5188, 769, 101, 13, 2, 1;

85569, 11346, 1305, 139, 15, 2, 1;

1725291, 208914, 21745, 2043, 183, 17, 2, 1;

41145705, 4613976, 443329, 37971, 3015, 233, 19, 2, 1;

1133047596, 118840164, 10679494, 850260, 61860, 4253, 289, 21, 2, 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^2)[n+1, k+1])}

CROSSREFS

Cf. A121412, A121420; A101479; columns: A121417, A121418, A121419.

Sequence in context: A128747 A124392 A144446 this_sequence A089329 A097411 A134929

Adjacent sequences: A121413 A121414 A121415 this_sequence A121417 A121418 A121419

KEYWORD

nonn,tabl

AUTHOR

Paul D. Hanna (pauldhanna(AT)juno.com), Aug 22 2006

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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