A222500 T(n,k)=Number of nXk 0..3 arrays with exactly floor(nXk/2) elements unequal to at least one horizontal, diagonal or antidiagonal neighbor, with new values introduced in row major 0..3 order

1, 0, 0, 0, 0, 0, 3, 4, 4, 0, 4, 5, 6, 13, 0, 8, 14, 35, 95, 40, 0, 10, 122, 81, 346, 525, 162, 0, 55, 196, 1758, 3915, 6109, 7420, 888, 0, 72, 1861, 3964, 43771, 52190, 101272, 40428, 3617, 0, 294, 4042, 114039, 524135, 1466810, 2793098, 1809959, 636953, 18136, 0

Offset

1,7

Comments

Table starts

.1......0........0.........3..........4..........8.........10........55

.0......0........4.........5.........14........122........196......1861

.0......4........6........35.........81.......1758.......3964....114039

.0.....13.......95.......346.......3915......43771.....524135...8524766

.0.....40......525......6109......52190....1466810...15602065.820533050

.0....162.....7420....101272....2793098...71467150.2414051256

.0....888....40428...1809959...48860520.4383248774

.0...3617...636953..30640551.3227092882

.0..18136..3473192.555968545

.0..81560.57944170

.0.407644

.0

Links

R. H. Hardin, Table of n, a(n) for n = 1..82

Example

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

Crossrefs

Column 2 is A222270

Row 1 is A222269

Sequence in context: A188729 A222509 A222488 * A177935 A021748 A132723

Adjacent sequences: A222497 A222498 A222499 * A222501 A222502 A222503

Keyword

nonn,tabl

Author

R. H. Hardin Feb 23 2013

Status

approved