A143518 Triangle read by rows, A054525 * (A010051 * 0^(n-k)), 1<=k<=n.

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

Author

Gary W. Adamson, Aug 22 2008

Keywords

• tabl
• sign

Comments

Row sums = A143519: (0, 1, 1, -1, 1, -2, 1, 0, -1,...)

Examples

			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

Cf. A010051, A054525.

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.