A143613 Triangle read by rows: A051731 * A127368.

1, 2, 0, 2, 2, 0, 3, 0, 3, 0, 2, 2, 3, 4, 0, 4, 2, 0, 0, 5, 0, 2, 2, 3, 4, 5, 6, 0, 4, 0, 6, 0, 5, 0, 7, 0, 3, 4, 0, 4, 5, 0, 7, 8, 0, 4, 2, 6, 4, 0, 0, 7, 0, 9, 0, 2, 2, 3, 4, 5, 6, 7, 8, 9, 10, 0, 6, 2, 3, 0, 10, 0, 7, 0, 0, 0, 11, 0, 2, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 0

Offset: 1

Author

Gary W. Adamson, Aug 27 2008

Keywords

• nonn
• tabl

Comments

A051731 = the inverse Moebius transform.

A127368 records the reduced residue system mod n, by rows.

Left border = d(n).

Row sums = A057661: (1, 2, 4, 6, 11, 11, 22, 22, 31, ...).

Examples

			First few rows of the triangle;
  1;
  2, 0;
  2, 2, 0;
  3, 0, 3, 0;
  2, 2, 3, 4, 0;
  4, 2, 0, 0, 5, 0;
  2, 2, 3, 4, 5, 6, 0;
  ...
		

Crossrefs

Cf. A000005, A051731, A057661, A127368.

Extensions

a(78) = 0 inserted by Georg Fischer, Jun 05 2023