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Search: id:A143656
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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
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OFFSET
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1,9
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COMMENT
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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
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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
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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
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Cf. A054521, A045545.
Sequence in context: A064875 A039802 A126726 this_sequence A104578 A064918 A067586
Adjacent sequences: A143653 A143654 A143655 this_sequence A143657 A143658 A143659
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KEYWORD
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nonn,tabl
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AUTHOR
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Gary W. Adamson (qntmpkt(AT)yahoo.com), Aug 28 2008
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