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A143656
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Triangle read by rows, A054521 * (A045545 * 0^(n-k)); 1<=k<=n.
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2
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1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 3, 0, 1, 0, 0, 0, 7, 0, 1, 1, 2, 3, 7, 8, 0, 1, 0, 2, 0, 7, 0, 22, 0, 1, 1, 0, 3, 7, 0, 22, 32, 0, 1, 0, 2, 0, 0, 0, 22, 0, 66, 0, 1, 1, 2, 3, 7, 8, 22, 32, 66, 91, 0, 1, 0, 0, 0, 7, 0, 22, 0, 0, 233, 0, 1, 1, 2, 3, 7, 8, 22, 32, 66, 91, 233, 263, 1, 0, 2, 0, 7, 0
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 1,9
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COMMENTS
| Sum of row terms = A045545 starting with offset 1: (1, 1, 2, 3, 7, 8, 22,...).
A045545 also = rightmost diagonal with nonzero terms.
Sum of n-th row terms = rightmost nonzero term of next row.
Prime n rows = first (n-1) terms of (1, 1, 2, 3, 7, 8,...) followed by 0.
Asymptotic limit of A054521^n * A143656 = A045545 as a vector.
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FORMULA
| Triangle read by rows, A054521 * (A045545 * 0^(n-k)); 1<=k<=n. T(n,k) = A045545(k) if gcd(n,k) = 1, 0 otherwise; where A045545 = (1, 1, 2, 3, 7, 8, 22, 32, 66,...) starting with offset 1.
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EXAMPLE
| First few rows of the triangle =
1;
1, 0;
1, 1, 0;
1, 0, 2, 0;
1, 1, 2, 3, 0;
1, 0, 0, 0, 7, 0;
1, 1, 2, 3, 7, 8, 0;
1, 0, 2, 0, 7, 0, 22, 0;
1, 1, 0, 3, 7, 0, 22, 32, 0;
1, 0, 2, 0, 0, 0, 22, 0, 66, 0;
...
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CROSSREFS
| Cf. A054521, A045545.
Sequence in context: A064875 A039802 A126726 * A141169 A180177 A104578
Adjacent sequences: A143653 A143654 A143655 * A143657 A143658 A143659
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KEYWORD
| nonn,tabl
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AUTHOR
| Gary W. Adamson (qntmpkt(AT)yahoo.com), Aug 28 2008
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