A162883 Triangle T(n,k) read by rows: k X k determinants ending at the n-th row of A127139.

1, -2, 1, -3, 3, 1, 0, 6, -4, 1, -5, -10, -10, 5, 1, 6, 15, 20, 15, -6, 1, -7, -21, 0, 0, -21, 7, 1, 0, 0, 0, 0, -56, 28, -8, 1, 0, 0, 0, 126, 126, 84, -36, 9, 1, 10, 0, 0, -210, -252, -210, 0, 45, -10, 1, -11, -55, 165, 330, 0, 0, 330, -165, -55, 11, 1, 0, -66, 0, -495, -792, 0, 0

Offset: 1

Author

Mats Granvik, Jul 16 2009

Keywords

• sign
• tabl

Comments

Absolute values of nonzero elements appear to be as in Pascal's triangle. The table consists mostly of zeros.

Examples

			Table begins:
   1;
  -2,    1;
  -3,    3,    1;
   0,    6,   -4,    1;
  -5,  -10,  -10,    5,    1;
   6,   15,   20,   15,   -6,    1;
  -7,  -21,    0,    0,  -21,    7,    1;
   0,    0,    0,    0,  -56,   28,   -8,    1;
   0,    0,    0,  126,  126,   84,  -36,    9,    1;
  10,    0,    0, -210, -252, -210,    0,   45,  -10,    1;
		

Crossrefs

Cf. A127139, A157379.