A183474 T(n,k)=Number of nXk binary arrays with every element equal to either the sum mod 2 of its vertical neighbors or the sum mod 2 of its horizontal neighbors

1, 2, 2, 3, 6, 3, 4, 12, 12, 4, 6, 28, 33, 28, 6, 9, 68, 111, 111, 68, 9, 13, 156, 374, 550, 374, 156, 13, 19, 368, 1205, 2769, 2769, 1205, 368, 19, 28, 872, 4003, 13338, 21280, 13338, 4003, 872, 28, 41, 2048, 13229, 66012, 153291, 153291, 66012, 13229, 2048, 41, 60

Offset

1,2

Comments

Table starts

..1....2......3.......4.........6...........9............13.............19

..2....6.....12......28........68.........156...........368............872

..3...12.....33.....111.......374........1205..........4003..........13229

..4...28....111.....550......2769.......13338.........66012.........326010

..6...68....374....2769.....21280......153291.......1140298........8501730

..9..156...1205...13338....153291.....1625205......17932076......198519483

.13..368...4003...66012...1140298....17932076.....295884064.....4899909637

.19..872..13229..326010...8501730...198519483....4899909637...121507526212

.28.2048..43561.1605094..63020066..2180670106...80382466165..2979497367017

.41.4832.143984.7924940.468581721.24048268539.1325242681656.73489774062359

Links

R. H. Hardin, Table of n, a(n) for n = 1..241

Example

Some solutions for 5X4
..1..1..1..1....0..0..0..0....0..0..0..0....1..1..0..0....0..1..1..0
..1..1..1..1....1..1..0..0....0..0..1..1....1..1..0..1....0..1..1..0
..0..0..0..0....1..1..0..1....1..0..1..0....0..1..1..1....0..0..0..0
..0..0..0..0....1..0..1..1....1..1..0..1....1..0..1..1....0..1..1..1
..0..1..1..0....0..0..0..0....1..0..1..1....1..0..1..1....0..1..1..1

Crossrefs

Column 1 is A000930(n+1)

Sequence in context: A003506 A047662 A329655 * A294034 A210220 A075196

Adjacent sequences: A183471 A183472 A183473 * A183475 A183476 A183477

Keyword

nonn,tabl

Author

R. H. Hardin Jan 05 2011

Status

approved