A157361 Triangle read by rows, A051731 * (A114810 * 0^(n-k)).

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

Offset: 1

Author

Gary W. Adamson, Feb 28 2009

Keywords

• nonn
• tabl

Comments

Row sums = A055653: (1, 2, 3, 3, 5, 6, 7, 5,...)

Examples

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

Crossrefs

Cf. A114810, A055653

Formula

Triangle read by rows, A051731 * (A114810 * 0^(n-k)); where A051731 = the inverse Mobius transform and (A114810 * 0^(n-k)) = an infinite lower triangular matrix with A114810 as the main diagonal: (1, 1, 2, 1, 4, 2, 6,...) and the rest zeros.