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URL: https://oeis.org/A222673

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A222673
T(n,k)=Number of nXk 0..2 arrays with exactly floor(nXk/2) elements unequal to at least one horizontal, vertical or antidiagonal neighbor, with new values introduced in row major 0..2 order.
7
1, 0, 0, 0, 0, 0, 3, 2, 2, 3, 4, 9, 2, 9, 4, 8, 24, 40, 40, 24, 8, 10, 80, 90, 348, 90, 80, 10, 50, 288, 1336, 2370, 2370, 1336, 288, 50, 66, 1038, 3458, 20606, 17696, 20606, 3458, 1038, 66, 216, 3608, 44516, 212842, 426362, 426362, 212842, 44516, 3608, 216, 280, 12696
OFFSET
1,7
COMMENTS
Table starts
....1......0........0...........3.............4...............8..............10
....0......0........2...........9............24..............80.............288
....0......2........2..........40............90............1336............3458
....3......9.......40.........348..........2370...........20606..........212842
....4.....24.......90........2370.........17696..........426362.........4030527
....8.....80.....1336.......20606........426362.........9334575.......244592240
...10....288.....3458......212842.......4030527.......244592240......5655834167
...50...1038....44516.....2134959.....115311310......6696876400....433607685391
...66...3608...126476....21085549....1138939624....189469189930..11560192314100
..216..12696..1527344...211716164...33371066606...5486076619642.975276334243798
..280..45024..4599422..2136631932..333504416113.160969581159830
.1120.160364.53131172.21522095442.9869885381863
LINKS
EXAMPLE
Some solutions for n=3 k=4
..0..0..0..1....0..1..1..1....0..0..0..0....0..0..0..1....0..1..0..0
..0..0..0..0....2..1..1..1....1..0..0..0....0..0..0..1....2..0..0..0
..0..0..0..1....0..1..1..1....2..0..0..0....0..0..1..1....0..0..0..0
CROSSREFS
Column 1 is A222395
Sequence in context: A316995 A338241 A222456 * A222666 A335401 A324465
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Feb 28 2013
STATUS
approved