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A137683 Triangle read by rows, A026794 * A007318^(-1). 0
1, 0, 1, 3, -2, 1, 1, 4, -3, 1, 5, -3, 6, -4, 1, 5, 5, -9, 10, -5, 1, 11, -6, 16, -20, 15, -6, 1, 10, 12, -23, 36, -35, 21, -7, 1, 20, -5, 27, -55, 70, -56, 28, -8, 1, 24, 11, -31, 81, -125, 126, -84, 36, -9, 1, 38, -9, 51, -123, 211, -252, 210, -120, 45, -10, 1 (list; table; graph; refs; listen; history; text; internal format)
OFFSET
0,4
COMMENTS
Row sums = the partition numbers, A000041: (1, 1, 2, 3, 5, 7, 11, 15, 22, ...).
LINKS
FORMULA
As an infinite lower triangular matrix, A026794 * the inverse of Pascal's triangle.
EXAMPLE
First few rows of the triangle:
1;
0, 1;
3, -2, 1;
1, 4, -3, 1;
5, -3, 6, -4, 1;
5, 5, -9, 10, -5, 1;
...
T(3,1) = -3 = (0, 0, 1, -3) dot (3, 1, 0, 1) = (0, 0, 0, -3).
CROSSREFS
Sequence in context: A239938 A097794 A275494 * A329231 A259341 A369589
KEYWORD
tabl,sign
AUTHOR
Gary W. Adamson, Feb 05 2008
STATUS
approved

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Last modified March 29 04:23 EDT 2024. Contains 371264 sequences. (Running on oeis4.)