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

1,1

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

Links

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

Example

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

Sequence in context: A276180 A247207 A187521 * A187633 A063154 A100500

Adjacent sequences: A187621 A187622 A187623 * A187625 A187626 A187627

Keyword

nonn,tabl

Author

R. H. Hardin Mar 12 2011

Status

approved