A143354 Triangle read by rows, (A051731)^4 * A128407, 1<=k<=n.

1, 4, -1, 4, 0, -1, 10, -4, 0, 0, 4, 0, 0, 0, -1, 16, -4, -4, 0, 0, 1, 4, 0, 0, 0, 0, 0, -1, 20, -10, 0, 0, 0, 0, 0, 0, 10, 0, -4, 0, 0, 0, 0, 0, 0, 16, -4, 0, 0, -4, 0, 0, 0, 0, 1, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 40, -16, -10, 0, 0, 4, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1

Offset: 1

Author

Gary W. Adamson, Aug 10 2008

Keywords

• tabl
• sign

Comments

Left border = A007426.

Right border = mu(n), A008683.

Row sums = A007425: (1, 3, 3, 6, 3, 9,...).

Examples

			First few rows of the triangle =
1;
4, -1;
4, 0, -1;
10, -4, 0, 0;
4, 0, 0, 0, 0, -1;
16, -4, -4, 0, 0, 1;
4, 0, 0, 0, 0, 0, -1;
10, -10, 0, 0, 0, 0, 0, 0;
...
		

Crossrefs

Cf. A051731, A128407, A007425, A007426, A008683.

Formula

Triangle read by rows, (A051731)^4 * A128407, 1<=k<=n