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

Author

R. H. Hardin Mar 09 2012

Keywords

• nonn
• tabl

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

Examples

			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
		

Links

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

Crossrefs

Column 1 is A056272