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

1,1

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

Links

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

Example

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

Crossrefs

Row 1 is A059306

Sequence in context: A064012 A276180 A247207 * A187624 A187633 A063154

Adjacent sequences: A187518 A187519 A187520 * A187522 A187523 A187524

Keyword

nonn,tabl

Author

R. H. Hardin Mar 10 2011

Status

approved