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A205642
T(n,k) = Number of (n+1)X(k+1) 0..3 arrays with every 2 X 2 subblock having the number of clockwise edge increases equal to the number of counterclockwise edge increases in its adjacent leftward and upward neighbors.
9
256, 2320, 2320, 21416, 28724, 21416, 198688, 377568, 377568, 198688, 1843744, 5079336, 8381936, 5079336, 1843744, 17111320, 69574220, 211610280, 211610280, 69574220, 17111320, 158804736, 962953968, 5747728044, 11786800328, 5747728044
OFFSET
1,1
COMMENTS
Table starts
........256.........2320...........21416.............198688
.......2320........28724..........377568............5079336
......21416.......377568.........8381936..........211610280
.....198688......5079336.......211610280........11786800328
....1843744.....69574220......5747728044.......727845846776
...17111320....962953968....163624211124.....46738310925116
..158804736..13444055224...4782966551464...3046981775525932
.1473828208.188823193784.141848199078560.199800076245538628
LINKS
EXAMPLE
Some solutions for n=4, k=3:
..3..3..1..3....1..1..3..2....1..0..3..3....2..2..1..1....3..0..1..1
..1..0..0..3....2..3..2..0....0..0..3..0....2..0..0..2....2..0..0..0
..1..2..1..1....3..1..3..1....3..3..3..0....2..3..2..2....2..0..2..0
..3..2..3..2....2..3..2..3....2..2..3..0....0..3..3..2....2..0..0..0
..0..2..0..0....1..2..3..2....0..2..3..3....3..3..0..0....2..0..3..3
CROSSREFS
Sequence in context: A206109 A206102 A014713 * A205635 A205027 A207300
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Jan 29 2012
STATUS
approved