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A222488
T(n,k)=Number of nXk 0..2 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..2 order
10
1, 0, 0, 0, 0, 0, 3, 4, 4, 0, 4, 5, 6, 13, 0, 8, 14, 33, 85, 36, 0, 10, 100, 75, 270, 365, 132, 0, 50, 152, 968, 2373, 3219, 3696, 584, 0, 66, 998, 2408, 17095, 20638, 34851, 14928, 2054, 0, 216, 2168, 31222, 145019, 356202, 590724, 374375, 159062, 7700, 0, 280
OFFSET
1,7
COMMENTS
Table starts
.1......0.........0..........3...........4............8...........10
.0......0.........4..........5..........14..........100..........152
.0......4.........6.........33..........75..........968.........2408
.0.....13........85........270........2373........17095.......145019
.0.....36.......365.......3219.......20638.......356202......2728712
.0....132......3696......34851......590724......9380846....184619038
.0....584.....14928.....374375.....6010402....272350434...4805784476
.0...2054....159062....3973169...194136760...8210507309.413049658833
.0...7700....645704...42982280..2013514580.255223125120
.0..29208...7158232..460903822.65746124890
.0.113024..28604092.4976455334
.0.428784.328610072
LINKS
EXAMPLE
Some solutions for n=4 k=4
..0..1..0..2....0..1..1..1....0..1..2..2....0..1..1..2....0..0..0..1
..2..0..0..0....1..1..1..1....2..2..2..0....2..2..2..2....0..0..0..0
..0..0..0..0....1..1..1..2....2..2..2..2....2..2..2..2....2..0..0..0
..0..0..0..0....1..1..1..0....2..2..2..2....2..2..2..2....1..0..0..0
CROSSREFS
Column 2 is A222425
Row 1 is A222395
Sequence in context: A245843 A188729 A222509 * A222500 A177935 A021748
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin Feb 22 2013
STATUS
approved