A143319 Triangle read by rows, A051731 * A143318; 1<=k<=n.

1, 3, -1, 4, -1, -1, 7, -4, 0, 0, 6, -1, -1, -1, -1, 12, -8, -3, 1, 1, 1, 8, -1, -1, -1, -1, -1, -1, 15, -11, 0, 0, 0, 0, 0, 0, 13, -5, -5, 0, 0, 0, 0, 0, 0, 18, -10, -3, -3, -3, 1, 1, 1, 1, 1, 12, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 28, -27, -7, 4, 4, 4, 0, 0, 0, 0, 0, 0

Offset: 1

Author

Gary W. Adamson, Aug 07 2008

Keywords

• tabl
• sign

Comments

Left border = sigma(n), A000203.

Right border = mu(n) A008683.

Row sums = d(n), A000005.

Examples

			First few rows of the triangle =
   1;
   3, -1;
   4, -1, -1;
   7, -4,  0,  0;
   6, -1, -1, -1, -1;
  12, -8, -3, -1, -1, -1;
   8, -1, -1, -1, -1, -1, -1;
  ...
		

Crossrefs

Cf. A000005, A000203, A008683, A051731, A143318.

Extensions

a(69) = -7 corrected by Georg Fischer, Jun 10 2023