A187624 T(n,k)=Number of (n+1)X(n+1) 0..k arrays with each 2X2 non-center subblock determinant nonzero and the array of 2X2 subblock determinants antisymmetric under 90 degree rotation.

10, 31, 24, 64, 446, 2, 113, 2924, 60, 948, 170, 12104, 390, 324452, 36, 255, 37448, 2146, 12278892, 70548, 190972, 336, 98014, 5324, 221177664, 4232368, 6090023738, 3020, 449, 221640, 16042, 1896404966

Offset: 1

Author

R. H. Hardin Mar 12 2011

Keywords

• nonn
• tabl

Comments

Table starts

.....10.........31.......64.......113........170...255....336.449

.....24........446.....2924.....12104......37448.98014.221640

......2.........60......390......2146.......5324.16042

....948.....324452.12278892.221177664.1896404966

.....36......70548..4232368

.190972.6090023738

...3020

Examples

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

Crossrefs

Row 1 is A059306