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

1,5

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

Table of n, a(n) for n=1..79.

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

Cf. A007318, A126988.

Sequence in context: A183342 A046688 A208342 * A067049 A349976 A090641

Adjacent sequences: A157280 A157281 A157282 * A157284 A157285 A157286

Keyword

sign,tabl

Author

Mats Granvik and Gary W. Adamson, Feb 26 2009

Status

approved