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A143445
Triangle read by rows, A051731 * (A001318 * 0^(n-k)); 1<=k<=n.
0
1, 1, 2, 1, 0, 5, 1, 2, 0, 7, 1, 0, 0, 0, 12, 1, 2, 5, 0, 0, 15, 1, 0, 0, 0, 0, 0, 22, 1, 2, 0, 7, 0, 0, 0, 26, 1, 0, 5, 0, 0, 0, 0, 0, 35, 1, 2, 0, 0, 12, 0, 0, 0, 0, 40, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 51, 1, 2, 5, 7, 0, 15, 0, 0, 0, 0, 0, 57
OFFSET
1,3
COMMENTS
Row sums = A079248: (1, 3, 6, 10, 13, 23,...)
FORMULA
Triangle read by rows, A051731 * (A001318 * 0^(n-k)); 1<=k<=n. A051731 = the inverse Mobius transform and (A001318 * 0^(n-k)) = an infinite lower triangular matrix with A001318 (1, 2, 5, 7, 12, 15, 22,...) in the main diagonal and the rest zeros.
EXAMPLE
First few rows of the triangle =
1;
1, 2;
1, 0, 5;
1, 2, 0, 7;
1, 0, 0, 0, 12;
1, 2, 5, 0, 0, 15;
...
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
Gary W. Adamson, Aug 15 2008
STATUS
approved