A222747 T(n,k)=Number of nXk 0..3 arrays with exactly floor(nXk/2) elements equal to at least one horizontal or antidiagonal neighbor, with new values introduced in row major 0..3 order

1, 0, 0, 0, 6, 0, 6, 32, 20, 0, 20, 657, 2438, 685, 0, 20, 7546, 126947, 125094, 5370, 0, 70, 124363, 6363724, 27397461, 6821264, 123410, 0, 685, 1710608, 390671426, 5989744766, 6178897165, 413021606, 1341616, 0, 2808, 26389570, 20825891902

Offset

1,5

Comments

Table starts

.1...........0................0....................6.....................20

.0...........6...............32..................657...................7546

.0..........20.............2438...............126947................6363724

.0.........685...........125094.............27397461.............5989744766

.0........5370..........6821264...........6178897165..........4906560167364

.0......123410........413021606........1424636571214.......4777709698876890

.0.....1341616......24065512554......332960192034230....4001484076145095954

.0....25106526....1471765337998....78562540663580982.4007703500495273447052

.0...321557310...87152464030990.18671065206165526715

.0..5447475968.5404644628233066

.0.76079350800

.0

Links

R. H. Hardin, Table of n, a(n) for n = 1..82

Example

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

Crossrefs

Row 1 is A222604

Sequence in context: A280480 A223104 A222722 * A222608 A353091 A021900

Adjacent sequences: A222744 A222745 A222746 * A222748 A222749 A222750

Keyword

nonn,tabl

Author

R. H. Hardin Mar 04 2013

Status

approved