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A143656 Triangle read by rows, A054521 * (A045545 * 0^(n-k)); 1<=k<=n. +0
2
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; listen)
OFFSET

1,9

COMMENT

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.

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.

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;

...

CROSSREFS

Cf. A054521, A045545.

Sequence in context: A064875 A039802 A126726 this_sequence A104578 A064918 A067586

Adjacent sequences: A143653 A143654 A143655 this_sequence A143657 A143658 A143659

KEYWORD

nonn,tabl

AUTHOR

Gary W. Adamson (qntmpkt(AT)yahoo.com), Aug 28 2008

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Last modified November 29 12:46 EST 2009. Contains 167659 sequences.


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