A187521 T(n,k)=Number of (n+1)X(n+1) 0..k arrays with the array of 2X2 subblock determinants antisymmetric and no off-diagonal 2X2 subblock determinant zero.

10, 31, 6, 64, 98, 2, 113, 450, 354, 0, 170, 1590, 4200, 1780, 0, 255, 3426, 34776, 73764, 12008, 0, 336, 8546, 107990, 1655170, 2048596, 157694, 0, 449, 13992, 475370, 8174314, 144075566, 129034386, 2808560, 0, 570, 26158, 978568, 70304076

Offset: 1

Author

R. H. Hardin Mar 10 2011

Keywords

• nonn
• tabl

Comments

Table starts

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

..6......98.......450......1590.......3426.....8546..13992.26158

..2.....354......4200.....34776.....107990...475370.978568

..0....1780.....73764...1655170....8174314.70304076

..0...12008...2048596.144075566.1201064094

..0..157694.129034386

..0.2808560

..0

Examples

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

Links

• R. H. Hardin, Table of n, a(n) for n = 1..41

Crossrefs

Row 1 is A059306