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A222769
T(n,k)=Number of nXk 0..1 arrays with exactly floor(nXk/2) elements unequal to at least one horizontal or antidiagonal neighbor, with new values introduced in row major 0..1 order
14
1, 0, 0, 0, 3, 0, 3, 4, 4, 0, 4, 11, 13, 20, 0, 4, 18, 66, 96, 48, 0, 5, 73, 158, 465, 301, 175, 0, 20, 152, 934, 2608, 3431, 2242, 512, 0, 27, 470, 2446, 15077, 19766, 25772, 7575, 1719, 0, 48, 1022, 14567, 89811, 256546, 333978, 196185, 55958, 5400, 0, 63, 3361, 39972
OFFSET
1,5
COMMENTS
Table starts
.1......0........0..........3............4...............4.................5
.0......3........4.........11...........18..............73...............152
.0......4.......13.........66..........158.............934..............2446
.0.....20.......96........465.........2608...........15077.............89811
.0.....48......301.......3431........19766..........256546...........1570588
.0....175.....2242......25772.......333978.........4479721..........62017670
.0....512.....7575.....196185......2645385........79612578........1139211468
.0...1719....55958....1508369.....45830457......1432512703.......46316300783
.0...5400...196442...11685222....370518626.....26011740182......872037778022
.0..17776..1448568...91068653...6504289924....475591230143....36016907441620
.0..57420..5188656..713197411..53224723750...8742929996332...687733392122744
.0.188656.38338122.5607868082.942396671062.161434491485598.28680675666813436
LINKS
EXAMPLE
Some solutions for n=3 k=4
..0..1..1..1....0..0..1..1....0..0..0..0....0..0..0..1....0..0..0..0
..1..1..1..0....0..0..1..0....1..1..0..0....0..0..0..1....0..0..0..0
..1..1..1..0....0..0..0..0....0..0..0..0....0..1..1..1....1..1..1..1
CROSSREFS
Row 1 is A222283
Sequence in context: A127753 A197736 A073367 * A111862 A277092 A060858
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin Mar 05 2013
STATUS
approved