%I #14 Aug 26 2017 18:02:00

%S 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,

%T 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,

%U 10,45,0,-210,252,-210,0,0,-10,1,1,11,-55,-165,330,0,0,330,165,-55,-11,1,1

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

%C 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.

%e Table begins:

%e 1

%e 1 1

%e 1 2 1

%e 1 3 -3 1

%e 1 4 6 0 1

%e 1 5 -10 -10 -5 1

%e 1 6 15 -20 15 -6 1

%e 1 7 -21 0 0 -21 -7 1

%e 1 8 28 56 0 0 0 0 1

%e 1 9 -36 84 126 126 0 0 0 1

%e 1 10 45 0 -210 252 -210 0 0 -10 1

%Y Cf. A007318, A126988.

%K sign,tabl

%O 1,5

%A _Mats Granvik_ and _Gary W. Adamson_, Feb 26 2009