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