A146024 Triangle read by rows, A146023 convolved with A010815.

1, 2, -1, 5, -2, -1, 10, -5, -2, 0, 20, -10, -5, 0, 0, 36, -20, -10, 0, 0, 1, 65, -36, -20, 0, 0, 2, 0, 1, 1, 0, 110, -65, -36, 0, 0, 5, 0, 1, 185, -110, -65, 0, 0, 110, 0, 2, 0, 300, -185, -110, 0, 0, 20, 0, 5, 0, 0

Offset: 0

Author

Gary W. Adamson, Oct 26 2008

Keywords

• tabl
• sign

Comments

Row sums = the partition numbers, A000041: (1, 1, 2, 3, 5, 7, 11,...).

Examples

			First few rows of the triangle =
1;
2, -1;
5, -2, -1;
10, -5, -2, 0;
20, -10, -5, 0, 0;
36, -20, -10, 0, 0, 1;
65, -36, -20, 0, 0, 2, 0;
110, -65, -36, 0, 0, 5, 0, 1;
...
		

Crossrefs

A146023, Cf. A000712, A000041

Formula

Triangle read by rows, A146023 * (A010815 * 0^(n-k)); 0<=k<=1.

Triangle A146023 has A000712 in every column.

(A010815 * 0^(n-k)) = an infinite lower triangular mtrix with A010815 as the right border and the rest zeros.

The operation A146023 * (A010815 * 0^(n-k)) convolves sequence A000712 with A010815.