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

0,2

Comments

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

Links

Table of n, a(n) for n=0..57.

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.

Example

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

Sequence in context: A228823 A249756 A207607 * A146023 A104766 A361681

Adjacent sequences: A146021 A146022 A146023 * A146025 A146026 A146027

Keyword

tabl,sign

Author

Gary W. Adamson, Oct 26 2008

Status

approved