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.

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

Author

R. H. Hardin Mar 05 2013

Keywords

• nonn
• tabl

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

Examples

			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
		

Links

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

Crossrefs

Row 1 is A222283