A143612 Triangle read by rows, A127368 * A000012, 1<=k<=n.

1, 1, 0, 3, 2, 0, 4, 3, 3, 0, 10, 9, 7, 4, 0, 6, 5, 5, 5, 5, 0, 21, 20, 18, 15, 11, 6, 0, 16, 15, 15, 12, 12, 7, 7, 0, 27, 26, 24, 24, 20, 15, 15, 8, 0, 20, 19, 19, 16, 16, 16, 16, 9, 9, 0, 55, 54, 52, 49, 45, 40, 34, 27, 19, 10, 0, 24, 23, 23, 23, 23, 18, 18, 11, 11, 11, 11, 0, 78, 77, 75

Offset: 1

Author

Gary W. Adamson, Aug 27 2008

Keywords

• nonn
• tabl

Comments

Triangle read by rows, A127368 * A000012, 1<=k<=n. Triangle A127368 records the reduced residue system mod n. The operator A000012 takes partial sums starting from the right in A127368 rows.

Examples

			First few rows of the triangle =
1;
1, 0;
3, 2, 0;
4, 3, 3, 0;
10, 9, 7, 4, 0;
6, 5, 5, 5, 5, 0;
21, 20, 18, 15, 11, 6, 0;
16, 15, 15, 12, 12, 7, 7, 0;
...
Row 5 = (10, 9, 7, 4, 0) since row 5 of triangle A127368 = (1, 2, 3, 4, 0).
		

Crossrefs

Cf. A127368, A023896 (left border), A053818 (row sums).

Extensions

Corrected by Jaroslav Krizek, May 28 2010