A205335 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with the number of equal 2X2 subblock diagonal pairs and equal antidiagonal pairs differing from each horizontal or vertical neighbor, and new values 0..2 introduced in row major order

14, 72, 72, 396, 594, 396, 2160, 4860, 4860, 2160, 11808, 39852, 63270, 39852, 11808, 64512, 326592, 827904, 827904, 326592, 64512, 352512, 2676888, 10839696, 17757552, 10839696, 2676888, 352512, 1926144, 21939984, 141909312, 381376368

Offset

1,1

Comments

Table starts

......14........72.........396..........2160...........11808.............64512

......72.......594........4860.........39852..........326592...........2676888

.....396......4860.......63270........827904........10839696.........141909312

....2160.....39852......827904......17757552.......381376368........8198181984

...11808....326592....10839696.....381376368.....13492233348......477819318768

...64512...2676888...141909312....8198181984....477819318768....27897722118120

..352512..21939984..1857980448..176201014416..16923247919040..1628712097341660

.1926144.179823888.24321964032.3787178593416.599308356864816.95091782591632620

Links

R. H. Hardin, Table of n, a(n) for n = 1..97

Example

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

Crossrefs

Sequence in context: A186707 A212752 A074086 * A212750 A106845 A365670

Adjacent sequences: A205332 A205333 A205334 * A205336 A205337 A205338

Keyword

nonn,tabl

Author

R. H. Hardin Jan 26 2012

Status

approved