A222690 T(n,k)=Number of nXk 0..2 arrays with exactly floor(nXk/2) elements unequal to at least one horizontal or antidiagonal neighbor, with new values introduced in row major 0..2 order

1, 0, 0, 0, 3, 0, 3, 4, 8, 0, 4, 18, 32, 50, 0, 8, 56, 220, 420, 216, 0, 10, 237, 664, 3189, 2050, 1120, 0, 50, 784, 7248, 29770, 47696, 32296, 5440, 0, 66, 3218, 25642, 288829, 419562, 723244, 159672, 27576, 0, 216, 11152, 298371, 3056797, 12765040, 20259516

Offset

1,5

Comments

Table starts

.1........0...........0..............3................4...................8

.0........3...........4.............18...............56.................237

.0........8..........32............220..............664................7248

.0.......50.........420...........3189............29770..............288829

.0......216........2050..........47696...........419562............12765040

.0.....1120.......32296.........723244.........20259516...........589802909

.0.....5440......159672.......11082863........301760538.........27752564898

.0....27576.....2593768......171281610......14776550335.......1319414370191

.0...138560....13108760.....2665243912.....223789472088......63167849881088

.0...704880...215573760....41702927217...11086737070564....3040537134742112

.0..3590400..1103125848...655500979620..169432535832409..146998128651407720

.0.18382208.18291819408.10342682216196.8466158066084383.7133080659964442596

Links

R. H. Hardin, Table of n, a(n) for n = 1..159

Example

Some solutions for n=3 k=4
..0..0..1..0....0..0..0..0....0..0..0..0....0..0..0..0....0..0..0..0
..0..0..0..0....0..0..1..2....0..0..0..1....1..0..1..1....0..0..0..0
..1..0..0..0....0..2..2..2....0..2..0..2....1..1..1..1....0..1..1..2

Crossrefs

Row 1 is A222395

Sequence in context: A111862 A277092 A060858 * A222794 A127749 A198431

Adjacent sequences: A222687 A222688 A222689 * A222691 A222692 A222693

Keyword

nonn,tabl

Author

R. H. Hardin Feb 28 2013

Status

approved