A143468 Triangle read by rows, A054525 * A127775, 1<=k<=n.

1, -1, 3, -1, 0, 5, 0, -3, 0, 7, -1, 0, 0, 0, 9, 1, -3, -5, 0, 0, 11, -1, 0, 0, 0, 0, 0, 13, 0, 0, 0, -7, 0, 0, 0, 15, 0, 0, -5, 0, 0, 0, 0, 0, 17, 1, -3, 0, 0, -9, 0, 0, 0, 0, 19, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 21

Offset: 1

Author

Gary W. Adamson, Aug 17 2008

Keywords

• tabl
• sign

Comments

Row sums = A140434: (1, 2, 4, 4, 8, 4, 12, 8, 12,...).

Left border = mu(n), A008683.

Examples

			First few rows of the triangle =
1;
-1, 3;
-1, 0, 5;
0, -3, 0, 7;
-1, 0, 0, 0, 9;
1, -3, -5, 0, 0, 11;
-1, 0, 0, 0, 0, 0, 13;
...
		

Crossrefs

Cf. A127775, A054525, A140434, A008683.

Formula

Triangle read by rows, A054525 * A127775, 1<=k<=n. Mobius transform of an infinite lower triangular matrix with (1, 3, 5, 7,...) in the main diagonal and the rest zeros.