A159905 Triangle read by rows, Mobius transform of A004736.

1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 4, 4, 3, 2, 1, 2, 2, 3, 3, 2, 1, 6, 6, 5, 4, 3, 2, 1, 4, 4, 4, 4, 4, 3, 2, 1, 6, 6, 6, 6, 5, 4, 3, 2, 1, 4, 4, 5, 5, 5, 5, 4, 3, 2, 1, 10, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 4, 4, 4, 5, 6, 6, 6, 5, 4, 3, 2, 1

Offset: 1

Author

Gary W. Adamson, Apr 25 2009

Keywords

• nonn
• tabl

Comments

Row sums = A007438, Mobius transform of the triangular numbers.

Left border = phi(n), A000010.

Examples

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

Crossrefs

Cf. A007438

Formula

Triangle read by rows, A054525 * A004736. A054525 = the Mobius transform, A004736 = the natural number "decrescendo" triangle: (1; 2,1; 3,2,1;...)