A207368 T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 0 and 0 1 1 horizontally and 0 0 1 and 0 1 1 vertically

2, 4, 4, 6, 16, 6, 9, 36, 36, 9, 13, 81, 90, 81, 12, 18, 169, 252, 225, 144, 16, 25, 324, 624, 784, 420, 256, 20, 34, 625, 1350, 2304, 1736, 784, 400, 25, 46, 1156, 3025, 5625, 5856, 3844, 1260, 625, 30, 62, 2116, 6256, 14641, 15525, 14884, 7130, 2025, 900, 36, 83

Offset

1,1

Comments

Table starts

..2...4....6.....9....13.....18.....25......34......46.......62.......83

..4..16...36....81...169....324....625....1156....2116.....3844.....6889

..6..36...90...252...624...1350...3025....6256...12788....25792....50630

..9..81..225...784..2304...5625..14641...33856...77284...173056...372100

.12.144..420..1736..5856..15525..45738..115368..287174...700960..1620770

.16.256..784..3844.14884..42849.142884..393129.1067089..2839225..7059649

.20.400.1260..7130.31110..95220.353808.1047717.3056647..8773795.23208895

.25.625.2025.13225.65025.211600.876096.2792241.8755681.27112849.76300225

Links

R. H. Hardin, Table of n, a(n) for n = 1..684

Example

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

Crossrefs

Column 1 is A002620(n+2)

Column 2 is A030179(n+2)

Row 1 is A171861(n+1)

Row 2 is A207025

Row 3 is A207026

Sequence in context: A207269 A207885 A207762 * A208013 A207785 A207242

Adjacent sequences: A207365 A207366 A207367 * A207369 A207370 A207371

Keyword

nonn,tabl

Author

R. H. Hardin Feb 17 2012

Status

approved