A143424 Triangle read by rows, A054525 * A130123, 1<=k<=n.

1, -1, 2, -1, 0, 4, 0, -2, 0, 8, -1, 0, 0, 0, 16, 1, -2, -4, 0, 0, 32, -1, 0, 0, 0, 0, 0, 64, 0, 0, 0, -8, 0, 0, 0, 128, 0, 0, -4, 0, 0, 0, 0, 0, 256, 1, -2, 0, 0, -16, 0, 0, 0, 0, 512, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1024, 0, 2, 0, -8, 0, -32, 0, 0, 0, 0, 0, 2048

Offset: 1

Author

Gary W. Adamson, Aug 14 2008

Keywords

• tabl
• sign

Comments

Row sums = A000740 starting with offset 1: (1, 1, 3, 6, 15, 27, 63,...).

Left border = mu(n), A008683.

Examples

			First few rows of the triangle =
1;
-1, 2;
-1, 0, 4;
0, -2, 0, 8;
-1, 0, 0, 0, 16;
1, -2, -4, 0, 0, 32;
-1, 0, 0, 0, 0, 0, 64;
0, 0, 0, -8, 0, 0, 0, 128;
...
		

Crossrefs

Cf. A000740, A130123, A054525, A008683.

Formula

Mobius transform of A130123, where A130123 = an infinite lower triangular matrix with (1, 2, 4, 8,...) in the main diagonal and the rest zeros.