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A121416
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Matrix square of triangle A121412.
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12
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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; refs; listen; history; internal format)
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OFFSET
| 0,2
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COMMENTS
| Row n of triangle T=A121412 equals row (n-1) of T^(n+1) with an appended '1'.
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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;
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PROG
| (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])}
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CROSSREFS
| Cf. A121412, A121420; A101479; columns: A121417, A121418, A121419.
Sequence in context: A205945 A124392 A144446 * A089329 A200236 A097411
Adjacent sequences: A121413 A121414 A121415 * A121417 A121418 A121419
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KEYWORD
| nonn,tabl
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AUTHOR
| Paul D. Hanna (pauldhanna(AT)juno.com), Aug 22 2006
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