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.

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

R. H. Hardin, Table of n, a(n) for n = 1..111

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

Adjacent sequences: A205639 A205640 A205641 * A205643 A205644 A205645

Keyword

nonn,tabl

Author

R. H. Hardin, Jan 29 2012

Status

approved