A207928 T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 0 and 0 1 0 horizontally and 0 0 0 and 1 1 1 vertically

2, 4, 4, 6, 16, 6, 9, 36, 36, 10, 15, 81, 72, 100, 16, 25, 225, 144, 240, 256, 26, 40, 625, 360, 576, 704, 676, 42, 64, 1600, 900, 1872, 1936, 2080, 1764, 68, 104, 4096, 2160, 6084, 7744, 6400, 6216, 4624, 110, 169, 10816, 5184, 18096, 30976, 29760, 21904

Offset

1,1

Comments

Table starts

..2....4.....6.....9.....15......25.......40........64.......104........169

..4...16....36....81....225.....625.....1600......4096.....10816......28561

..6...36....72...144....360.....900.....2160......5184.....12528......30276

.10..100...240...576...1872....6084....18096.....53824....165648.....509796

.16..256...704..1936...7744...30976...111584....401956...1513992....5702544

.26..676..2080..6400..29760..138384...592968...2540836..11151624...48944016

.42.1764..6216.21904.126688..732736..3773248..19430464.105642128..574369156

.68.4624.18496.73984.520608.3663396.22906752.143233024.955190016.6369955344

Links

R. H. Hardin, Table of n, a(n) for n = 1..391

Example

Some solutions for n=9 k=3
..0..0..1....0..0..1....0..1..1....1..0..0....1..0..0....0..0..1....0..0..1
..0..1..1....1..1..1....0..0..1....1..0..0....0..0..1....1..1..1....0..0..1
..1..1..0....1..0..0....1..0..0....0..1..1....1..1..0....1..1..0....1..1..0
..1..0..0....0..1..1....0..1..1....0..0..1....0..1..1....0..0..1....0..1..1
..0..1..1....1..1..0....1..1..1....1..1..0....0..0..1....1..0..1....1..0..0
..0..1..1....0..0..1....1..0..0....1..0..0....1..1..0....1..1..0....0..1..1
..1..0..0....1..0..0....0..1..1....0..1..1....0..1..1....0..1..1....1..0..1
..1..1..0....1..1..1....1..1..1....1..0..0....0..0..1....0..0..1....1..0..0
..0..1..1....0..1..1....1..0..0....1..1..1....1..0..0....1..1..0....0..1..1

Crossrefs

Column 1 is A006355(n+2)

Column 2 is A206981

Column 3 is A207840

Row 1 is A006498(n+2)

Row 2 is A189145(n+2)

Sequence in context: A207918 A207519 A208698 * A207858 A208379 A207453

Adjacent sequences: A207925 A207926 A207927 * A207929 A207930 A207931

Keyword

nonn,tabl

Author

R. H. Hardin Feb 21 2012

Status

approved