A187699 T(n,k)=Number of (n+1)X(n+1) 0..k arrays with each 2X2 subblock determinant nonzero and the array of 2X2 subblock determinants symmetric under horizontal and vertical reflection.

6, 50, 0, 192, 8, 104, 512, 74, 7954, 0, 1126, 280, 87258, 1548, 9350, 2146, 784, 692410, 22738, 15128848, 0, 3760, 1970, 2363474, 320674, 1089964504, 454640, 4280018, 6112, 3580, 10839282, 1147854

Offset: 1

Author

R. H. Hardin Mar 12 2011

Keywords

• nonn
• tabl

Comments

Table starts

.......6.......50........192....512....1126.....2146.3760.6112

.......0........8.........74....280.....784.....1970.3580

.....104.....7954......87258.692410.2363474.10839282

.......0.....1548......22738.320674.1147854

....9350.15128848.1089964504

.......0...454640

.4280018

Examples

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

Crossrefs

Row 1 is A062801

Row 2 is A187529