A209503 T(n,k)=Number of nXk 0..4 arrays with every 2X2 subblock containing exactly one value repeat, and new values 0..4 introduced in row major order

1, 2, 2, 5, 6, 5, 15, 57, 57, 15, 52, 690, 1938, 690, 52, 202, 9393, 78135, 78135, 9393, 202, 855, 133380, 3268686, 9502354, 3268686, 133380, 855, 3845, 1920126, 137627625, 1165032679, 1165032679, 137627625, 1920126, 3845, 18002, 27760512

Offset

1,2

Comments

Table starts

....1........2............5...............15...................52

....2........6...........57..............690.................9393

....5.......57.........1938............78135..............3268686

...15......690........78135..........9502354...........1165032679

...52.....9393......3268686.......1165032679.........416022303027

..202...133380....137627625.....142937856372......148562491090605

..855..1920126...5801378991...17538444837670....53052739133301878

.3845.27760512.244591579065.2151975129988088.18945498248887912305

Links

R. H. Hardin, Table of n, a(n) for n = 1..112

Example

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

Crossrefs

Column 1 is A056272

Sequence in context: A266595 A120406 A050157 * A209744 A209465 A209527

Adjacent sequences: A209500 A209501 A209502 * A209504 A209505 A209506

Keyword

nonn,tabl

Author

R. H. Hardin Mar 09 2012

Status

approved