A157283 k X k determinants at the n-th row of A126988.

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

Offset: 1

Author

Mats Granvik and Gary W. Adamson, Feb 26 2009

Keywords

• sign
• tabl

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.

Examples

			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

Cf. A007318, A126988.