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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 (list; table; graph; refs; listen; history; text; internal format)
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

R. H. Hardin, Table of n, a(n) for n = 1..144

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

Adjacent sequences:  A222670 A222671 A222672 * A222674 A222675 A222676

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin Feb 28 2013

STATUS

approved

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Last modified May 23 12:48 EDT 2022. Contains 353975 sequences. (Running on oeis4.)