A206188 T(n,k) = number of (n+1) X (k+1) 0..3 arrays with every 2 X 2 subblock having the same number of clockwise edge increases as its horizontal neighbors and the same number of counterclockwise edge increases as its vertical neighbors.

256, 1976, 1976, 15616, 19688, 15616, 124048, 205804, 205804, 124048, 986388, 2410188, 3802676, 2410188, 986388, 7854572, 30417316, 95187756, 95187756, 30417316, 7854572, 62623348, 406202048, 2674444796, 5674969344, 2674444796

Offset

1,1

Comments

Table starts

.......256........1976..........15616.............124048................986388

......1976.......19688.........205804............2410188..............30417316

.....15616......205804........3802676...........95187756............2674444796

....124048.....2410188.......95187756.........5674969344..........364197868292

....986388....30417316.....2674444796.......364197868292........51975660472496

...7854572...406202048....78597249508.....23825180259760......7481908870312588

..62623348..5614757320..2345626036136...1565902419680820...1078848431799509828

.499915248.79279051900.70435464744476.103072965502712948.155633082985105845972

Links

R. H. Hardin, Table of n, a(n) for n = 1..84

Example

Some solutions for n=4, k=3:
..1..0..0..0....3..2..0..0....2..0..2..2....2..3..2..0....0..2..0..3
..0..3..2..1....2..1..3..1....3..0..0..0....2..3..0..0....0..2..0..3
..0..2..2..1....0..3..2..2....0..3..2..1....0..0..2..1....2..2..0..3
..0..1..1..1....3..2..0..3....0..2..2..1....3..0..1..1....0..2..0..3
..1..0..3..2....1..2..3..3....0..1..1..1....2..2..0..2....2..2..0..3

Crossrefs

Column 1 is A205363.

Sequence in context: A238058 A235972 A235965 * A205370 A205659 A205363

Adjacent sequences: A206185 A206186 A206187 * A206189 A206190 A206191

Keyword

nonn,tabl

Author

R. H. Hardin, Feb 04 2012

Status

approved