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

R. H. Hardin, Table of n, a(n) for n = 1..239

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

Adjacent sequences:  A222766 A222767 A222768 * A222770 A222771 A222772

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin Mar 05 2013

STATUS

approved

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Last modified October 21 07:15 EDT 2019. Contains 328292 sequences. (Running on oeis4.)