A187670 T(n,k)=Number of (n+1)X(n+1) 0..k arrays with each 2X2 subblock nonsingular and the array of 2X2 subblock determinants symmetric about the diagonal and antidiagonal.
6, 50, 24, 192, 550, 112, 512, 4044, 11282, 974, 1126, 17716, 174292, 612204, 9928, 2146, 56080, 1549398, 36461174, 65533922, 197152, 3760, 150166, 6839146, 835707780
Offset: 1
Examples
Some k=3 solutions for 5X5 ..0..2..2..0..3....0..2..2..2..3....0..2..2..2..1....0..2..2..2..3 ..2..1..0..1..0....2..2..0..1..1....2..2..0..1..1....2..2..0..1..1 ..2..0..3..0..2....2..0..2..0..2....2..0..1..1..3....2..0..1..0..2 ..0..1..0..1..2....0..1..0..2..2....3..1..0..2..2....0..1..0..2..3 ..3..2..2..2..0....1..1..2..3..1....2..1..2..2..0....1..1..2..2..1
Crossrefs
Row 1 is A062801
Comments