A200579 T(n,k)=Number of nXk 0..2 arrays with no average of any element and its horizontal and vertical neighbors equal to one

2, 6, 6, 10, 36, 10, 22, 174, 174, 22, 52, 922, 2174, 922, 52, 114, 5202, 28890, 28890, 5202, 114, 260, 29180, 388824, 938128, 388824, 29180, 260, 600, 163706, 5236786, 30603332, 30603332, 5236786, 163706, 600, 1374, 919924, 70594592, 997303772

Offset

1,1

Comments

Table starts

....2........6...........10.............22...............52..............114

....6.......36..........174............922.............5202............29180

...10......174.........2174..........28890...........388824..........5236786

...22......922........28890.........938128.........30603332........997303772

...52.....5202.......388824.......30603332.......2421467558.....190970366840

..114....29180......5236786......997303772.....190970366840...36460159508108

..260...163706.....70594592....32523513414...15075017283404.6967106819900592

..600...919924....951777602..1060675282092.1190087102438968

.1374..5171420..12832277870.34590199046646

.3162.29068726.173011315794

Links

R. H. Hardin, Table of n, a(n) for n = 1..84

Example

Some solutions for n=5 k=3
..0..0..2....0..0..0....0..0..2....0..1..0....0..0..1....0..1..1....0..0..0
..0..1..2....1..0..1....1..1..2....1..2..1....0..1..1....0..0..0....1..2..2
..0..1..0....2..0..0....0..0..1....2..1..2....1..0..0....0..0..0....2..1..2
..1..0..0....2..1..0....0..2..0....2..2..2....0..0..1....0..0..0....2..1..1
..1..2..0....0..0..1....1..0..0....1..1..1....0..0..1....0..0..1....1..2..2

Crossrefs

Sequence in context: A078636 A083482 A290701 * A200809 A323444 A099027

Adjacent sequences: A200576 A200577 A200578 * A200580 A200581 A200582

Keyword

nonn,tabl

Author

R. H. Hardin Nov 19 2011

Status

approved