A220287 T(n,k)=Equals one maps: number of nXk binary arrays indicating the locations of corresponding elements equal to exactly one of their horizontal and vertical neighbors in a random 0..1 nXk array

1, 2, 2, 4, 4, 4, 8, 31, 31, 8, 16, 96, 139, 96, 16, 32, 424, 1411, 1411, 424, 32, 64, 1422, 9430, 15382, 9430, 1422, 64, 128, 5504, 63154, 232795, 232795, 63154, 5504, 128, 256, 19606, 452515, 3061937, 5691450, 3061937, 452515, 19606, 256, 512, 73294, 3130768

Offset

1,2

Comments

Table starts

...1.....2.......4........8........16........32.......64.......128......256

...2.....4......31.......96.......424......1422.....5504.....19606....73294

...4....31.....139.....1411......9430.....63154...452515...3130768.21630714

...8....96....1411....15382....232795...3061937.40463019.533004621

..16...424....9430...232795...5691450.147661377

..32..1422...63154..3061937.147661377

..64..5504..452515.40463019

.128.19606.3130768

.256.73294

.512

Links

R. H. Hardin, Table of n, a(n) for n = 1..59

Example

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

Crossrefs

Sequence in context: A316883 A317611 A220461 * A354492 A320195 A129163

Adjacent sequences: A220284 A220285 A220286 * A220288 A220289 A220290

Keyword

nonn,tabl

Author

R. H. Hardin Dec 09 2012

Status

approved