A187705 T(n,k)=Number of (n+1)X(n+1) 0..k arrays with each 2X2 subblock off diagonal and antidiagonal nonsingular and the array of 2X2 subblock determinants antisymmetric about the diagonal and antidiagonal.

10, 31, 128, 64, 1489, 2, 113, 8272, 72, 34, 170, 31461, 322, 5030, 0, 255, 93476, 1718, 81456, 36, 2, 336, 235773, 2904, 875696, 530, 7410, 0, 449, 524284, 9834, 4225652, 4612, 230446, 474, 0, 570, 1062857, 13324, 22532156, 12898

Offset: 1

Author

R. H. Hardin Mar 12 2011

Keywords

• nonn
• tabl

Comments

Table starts

..10...31.....64....113.....170......255....336.....449.570

.128.1489...8272..31461...93476...235773.524284.1062857

...2...72....322...1718....2904.....9834..13324

..34.5030..81456.875696.4225652.22532156

...0...36....530...4612...12898

...2.7410.230446

...0..474

...0

Examples

			Some k=3 solutions for 5X5
..0..0..1..2..2....0..0..1..2..2....0..0..1..0..0....0..3..2..3..2
..2..2..0..2..2....3..3..0..1..1....1..1..0..1..2....0..3..3..3..2
..2..3..0..3..2....1..2..0..2..1....1..2..0..1..1....1..0..0..0..1
..2..2..0..2..2....1..1..0..3..3....1..1..0..1..2....2..3..1..3..2
..2..2..1..3..3....0..0..1..2..2....1..1..1..0..0....2..3..0..3..2
		

Crossrefs

Row 1 is A059306