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A206128
T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with every 2X2 subblock having nonzero determinant and having the same number of clockwise edge increases as its horizontal and vertical neighbors
9
50, 170, 170, 558, 798, 558, 1906, 3692, 3692, 1906, 6386, 18572, 25340, 18572, 6386, 21940, 93582, 201498, 201498, 93582, 21940, 74714, 491162, 1622095, 2501248, 1622095, 491162, 74714, 258496, 2591052, 13475116, 31537842, 31537842, 13475116
OFFSET
1,1
COMMENTS
Table starts
.....50......170.......558........1906..........6386...........21940
....170......798......3692.......18572.........93582..........491162
....558.....3692.....25340......201498.......1622095........13475116
...1906....18572....201498.....2501248......31537842.......404927788
...6386....93582...1622095....31537842.....619611200.....12251680342
..21940...491162..13475116...404927788...12251680342....372768662926
..74714..2591052.112183711..5199505646..242348711498..11329725297298
.258496.13911368.939358762.66968651436.4795824388008.344897509718070
LINKS
EXAMPLE
Some solutions for n=4 k=3
..1..1..2..1....1..1..2..1....1..1..0..1....0..1..2..2....0..1..0..1
..1..2..2..0....1..2..2..2....2..1..1..1....2..2..1..0....1..2..1..2
..1..1..2..2....2..2..1..2....2..2..1..2....1..0..2..1....2..0..2..1
..2..1..1..2....2..1..1..1....0..1..1..1....0..1..0..2....2..1..0..2
..2..2..1..1....1..1..2..0....1..1..0..1....2..2..1..0....0..2..1..0
CROSSREFS
Sequence in context: A160783 A085445 A048511 * A333101 A206121 A349808
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin Feb 04 2012
STATUS
approved