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A157283 k X k determinants at the n-th row of A126988. 1
1, 1, 1, 1, 2, 1, 1, 3, -3, 1, 1, 4, 6, 0, 1, 1, 5, -10, -10, -5, 1, 1, 6, 15, -20, 15, -6, 1, 1, 7, -21, 0, 0, -21, -7, 1, 1, 8, 28, 56, 0, 0, 0, 0, 1, 1, 9, -36, 84, 126, 126, 0, 0, 0, 1, 1, 10, 45, 0, -210, 252, -210, 0, 0, -10, 1, 1, 11, -55, -165, 330, 0, 0, 330, 165, -55, -11, 1, 1 (list; table; graph; refs; listen; history; text; internal format)
OFFSET
1,5
COMMENTS
The n-th value in the k-th column in this triangle is a k X k determinant of A126988 beginning at the n-th row and the first column of A126988. The absolute values of the nonzero values appear to be as in Pascal's triangle A007318. The second diagonal appears to be zero at nonsquare free column indices. There are a lot of zeros in the middle as the table gets bigger.
LINKS
EXAMPLE
Table begins:
1
1 1
1 2 1
1 3 -3 1
1 4 6 0 1
1 5 -10 -10 -5 1
1 6 15 -20 15 -6 1
1 7 -21 0 0 -21 -7 1
1 8 28 56 0 0 0 0 1
1 9 -36 84 126 126 0 0 0 1
1 10 45 0 -210 252 -210 0 0 -10 1
CROSSREFS
Sequence in context: A183342 A046688 A208342 * A067049 A349976 A090641
KEYWORD
sign,tabl
AUTHOR
Mats Granvik and Gary W. Adamson, Feb 26 2009
STATUS
approved

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Last modified April 12 10:04 EDT 2024. Contains 371627 sequences. (Running on oeis4.)