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A143518
Triangle read by rows, A054525 * (A010051 * 0^(n-k)), 1<=k<=n.
1
0, 0, 1, 0, 0, 1, 0, -1, 0, 0, 0, 0, 0, 0, 1, 0, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1
OFFSET
1,1
COMMENTS
Row sums = A143519: (0, 1, 1, -1, 1, -2, 1, 0, -1,...)
FORMULA
Triangle read by rows, A054525 * A010051, 1<=k<=n. A054525 = the Mobius transform. A010051 * 0^(n-k) = an infinite lower triangular matrix with A010051, the characteristic function of the primes (0, 1, 1, 0, 1, 0, 1,...) as the main diagonal and the rest zeros.
EXAMPLE
First few rows of the triangle =
0;
0, 1;
0, 0, 1;
0, -1, 0, 0;
0, 0, 0, 0, 1;
0, -1, -1, 0, 0, 0;
0, 0, 0, 0, 0, 0, 1;
...
CROSSREFS
Sequence in context: A188297 A289128 A272664 * A122414 A288216 A189628
KEYWORD
tabl,sign
AUTHOR
Gary W. Adamson, Aug 22 2008
STATUS
approved