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A143110
Triangle read by rows, A051731 * A000034 * 0^(n-k), 1<=k<=n.
1
1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2
OFFSET
1,3
COMMENTS
Row sums = A069735: (1, 3, 2, 5, 2, 6, 2, 7,...).
T(n,k) = 2 if k is even and divides n, 1 if k is odd and divides n; 0 otherwise.
FORMULA
Triangle read by rows, A051731 * A000034 * 0^(n-k), 1<=k<=n; where A051731 = the inverse Mobius transform and A000034 = (1, 2, 1, 2, 1, 2,...).
EXAMPLE
First few rows of the triangle are:
1;
1, 2;
1, 0, 1;
1, 2, 0, 2;
1, 0, 0, 0, 1;
1, 2, 1, 0, 0, 2;
1, 0, 0, 0, 0, 0, 1;
...
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
Gary W. Adamson & Mats Granvik, Jul 25 2008
STATUS
approved