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

1,1

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

Links

Table of n, a(n) for n=1..32.

Example

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

Sequence in context: A305376 A024268 A187528 * A212232 A187670 A187462

Adjacent sequences: A187696 A187697 A187698 * A187700 A187701 A187702

Keyword

nonn,tabl

Author

R. H. Hardin Mar 12 2011

Status

approved