A205954 T(n,k) = number of (n+1) X (k+1) 0..3 arrays with no 2 X 2 subblock having the same number of clockwise edge increases as its horizontal neighbors or the same number of counterclockwise edge increases as its vertical neighbors.

256, 2120, 2120, 17920, 25512, 17920, 151824, 310912, 310912, 151824, 1285076, 3825072, 5550256, 3825072, 1285076, 10876432, 47118720, 101702648, 101702648, 47118720, 10876432, 92062852, 583496376, 1912957100, 2938041784, 1912957100

Offset

1,1

Comments

Table starts

.......256........2120..........17920.........151824.........1285076

......2120.......25512.........310912........3825072........47118720

.....17920......310912........5550256......101702648......1912957100

....151824.....3825072......101702648.....2938041784.....90234357280

...1285076....47118720.....1912957100....90234357280...4762415402596

..10876432...583496376....36783376600..2915195222352.273204243466080

..92062852..7243545064...718097911212.97376756715048

.779221408.90103381160.14168783055608

Links

R. H. Hardin, Table of n, a(n) for n = 1..59

Example

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

Crossrefs

Column 1 is A205459.

Sequence in context: A014711 A236451 A236445 * A205466 A205459 A237076

Adjacent sequences: A205951 A205952 A205953 * A205955 A205956 A205957

Keyword

nonn,tabl

Author

R. H. Hardin, Feb 02 2012

Status

approved