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A128586
Triangle read by rows: A007318^(-1) * A128540.
2
1, 0, 1, -1, 0, 2, 2, -3, -3, 3, -3, 8, 0, -7, 5, 4, -15, 10, 5, -17, 8, -5, 24, -30, 15, 27, -35, 13, 6, -35, 63, -70, -7, 77, -70, 21, -7, 48, -112, 182, -98, -84, 196, -134, 34, 8, -63, 180, -378, 378, -84, -336, 450, -251, 55, -9, 80, -270, 690, -966, 714, 210, -990, 980, -461, 89
OFFSET
1,6
COMMENTS
Row sums = A128587: (1, 1, 1, -1, 3, -5, 9, -15, 25, -41, ...).
FORMULA
Inverse binomial transform of A128540.
Matrix product A130595 * A128540. - Georg Fischer, Jun 01 2023
EXAMPLE
First few rows of the triangle:
1;
0, 1;
-1, 0, 2;
2, -3, -3, 3;
-3, 8, 0, -7, 5;
4, -15, 10, 5, -17, 8;
...
CROSSREFS
KEYWORD
tabl,sign
AUTHOR
Gary W. Adamson, Mar 11 2007
EXTENSIONS
a(33) corrected, a(42)=-84 inserted and more terms from Georg Fischer, Jun 01 2023
STATUS
approved