A187705 T(n,k)=Number of (n+1)X(n+1) 0..k arrays with each 2X2 subblock off diagonal and antidiagonal nonsingular and the array of 2X2 subblock determinants antisymmetric about the diagonal and antidiagonal

10, 31, 128, 64, 1489, 2, 113, 8272, 72, 34, 170, 31461, 322, 5030, 0, 255, 93476, 1718, 81456, 36, 2, 336, 235773, 2904, 875696, 530, 7410, 0, 449, 524284, 9834, 4225652, 4612, 230446, 474, 0, 570, 1062857, 13324, 22532156, 12898

Offset

1,1

Comments

Table starts

..10...31.....64....113.....170......255....336.....449.570

.128.1489...8272..31461...93476...235773.524284.1062857

...2...72....322...1718....2904.....9834..13324

..34.5030..81456.875696.4225652.22532156

...0...36....530...4612...12898

...2.7410.230446

...0..474

...0

Links

Table of n, a(n) for n=1..41.

Example

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

Crossrefs

Row 1 is A059306

Sequence in context: A111500 A342362 A161325 * A267564 A289201 A042849

Adjacent sequences: A187702 A187703 A187704 * A187706 A187707 A187708

Keyword

nonn,tabl

Author

R. H. Hardin Mar 12 2011

Status

approved