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A146024
Triangle read by rows, A146023 convolved with A010815
0
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,...).
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
KEYWORD
tabl,sign
AUTHOR
Gary W. Adamson, Oct 26 2008
STATUS
approved