A128409 Triangle read by rows: A000012 * A128408 as infinite lower triangular matrices.

1, 0, -1, -1, -1, -1, -1, -1, -1, 0, -2, -1, -1, 0, -1, -1, 0, 0, 0, -1, 1, -2, 0, 0, 0, -1, 1, -1, -2, 0, 0, 0, -1, 1, -1, 0, -2, 0, 0, 0, -1, 1, -1, 0, 0, -1, 1, 0, 0, 0, 1, -1, 0, 0, 1, -2, 1, 0, 0, 0, 1, -1, 0, 0, 1, -1, -2, 1, 0, 0, 0, 1, -1, 0, 0, 1, -1, 0, -3, 1, 0, 0, 0, 1, -1, 0, 0, 1, -1, 0, -1

Offset: 1

Author

Gary W. Adamson, Mar 01 2007

Keywords

• tabl
• sign

Comments

Left border = the Mertens sequence: A002321: (1, 0, -1, -1, -2, ...).

Right border = mu(n), A008683: (1, -1, -1, 0, -1, 1, -1, ...).

Row sums = A062563: (1, -1, -3, -3, -5, -1, -3, ...).

Examples

			First few rows of the triangle:
   1;
   0, -1;
  -1, -1, -1;
  -1, -1, -1,  0;
  -2, -1, -1,  0, -1;
  -1,  0,  0,  0, -1,  1;
  -2,  0,  0,  0, -1,  1, -1;
  ...
		

Crossrefs

Cf. A002321, A008683, A062563, A128407, A128408.

Extensions

Previous a(51) = 0 removed and more terms from Georg Fischer, Jun 08 2023