A187633 T(n,k)=Number of (n+1)X(n+1) 0..k arrays with the array of 2X2 subblock determinants antisymmetric under horizontal and vertical reflection and each non-centerline 2X2 subblock nonsingular.

10, 31, 24, 64, 446, 24, 113, 2924, 1648, 954, 170, 12104, 14044, 557382, 954, 255, 37448, 106892, 31903442, 672698, 194008, 336, 98014, 306320, 686589106, 33869160, 21411605018, 194008, 449, 221640, 1848504, 7836968262, 795758912

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

.....24........1648....14044....106892.....306320.1848504

....954......557382.31903442.686589106.7836968262

....954......672698.33869160.795758912

.194008.21411605018

.194008

Examples

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

Crossrefs

Row 1 is A059306

Row 2 is A187625