A205415 T(n,k)=Number of (n+2)X(k+2) 0..2 arrays with every 3X3 subblock having three equal elements in a row horizontally, vertically or nw-to-se diagonally exactly two ways, and new values 0..2 introduced in row major order

468, 3868, 3868, 33322, 44596, 33322, 236576, 549414, 549414, 236576, 1820215, 5686031, 10331386, 5686031, 1820215, 14452683, 64878898, 151598017, 151598017, 64878898, 14452683, 109757792, 768581101, 2553087985, 2839359056, 2553087985

Offset

1,1

Comments

Table starts

.......468........3868..........33322.........236576........1820215

......3868.......44596.........549414........5686031.......64878898

.....33322......549414.......10331386......151598017.....2553087985

....236576.....5686031......151598017.....2839359056....67792717447

...1820215....64878898.....2553087985....67792717447..2520131261396

..14452683...768581101....45661264026..1715387177450.98445276297551

.109757792..8606465750...735422130329.36803297869771

.844627201.98080551694.12286397087182

Links

R. H. Hardin, Table of n, a(n) for n = 1..60

Example

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

Crossrefs

Sequence in context: A114135 A043364 A054756 * A205408 A282116 A281061

Adjacent sequences: A205412 A205413 A205414 * A205416 A205417 A205418

Keyword

nonn,tabl

Author

R. H. Hardin Jan 26 2012

Status

approved