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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
9
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
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
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin Feb 23 2013
STATUS
approved