A159937 Triangle read by rows, A054525 * A127478, as infinite lower triangular matrices.

1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 4, 0, 0, 0, 4, 2, 2, 2, 0, 0, 2, 6, 0, 0, 0, 0, 0, 6, 4, 2, 0, 2, 0, 0, 0, 4, 6, 0, 4, 0, 0, 0, 0, 0, 6, 4, 4, 0, 0, 4, 0, 0, 0, 0, 4, 10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 10, 4, 2, 4, 4, 0, 2, 0, 0, 0, 0, 0, 4

Offset: 1

Author

Gary W. Adamson, Apr 26 2009

Keywords

• nonn
• tabl

Comments

Row sums = A029935: (1, 2, 4, 5, 8, 8,...). Right and left borders = A000010, phi(n).

Examples

			First few rows of the triangle =
1;
1, 1;
2, 0, 2;
2, 1, 0, 2;
4, 0, 0, 0, 4;
2, 2, 2, 0, 0, 2;
6, 0, 0, 0, 0, 0, 6;
4, 2, 0, 2, 0, 0, 0, 4;
6, 0, 4, 0, 0, 0, 0, 0, 6;
4, 4, 0, 0, 4, 0, 0, 0, 0, 4;
10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 10;
4, 2, 4, 4, 0, 2, 0, 0, 0, 0, 0, 4;
12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12;
6, 6, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 6;
8, 0, 8, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8;
...
		

Crossrefs

Cf. A127478, A029935

Formula

A054525 * A127478 = Mobius transform of triangle A127478.