A220977 T(n,k)=Equals one maps: number of nXk binary arrays indicating the locations of corresponding elements equal to exactly one of their king-move neighbors in a random 0..1 nXk array

1, 2, 2, 4, 2, 4, 8, 9, 9, 8, 16, 23, 94, 23, 16, 32, 58, 368, 368, 58, 32, 64, 149, 1455, 1972, 1455, 149, 64, 128, 379, 6291, 12033, 12033, 6291, 379, 128, 256, 969, 26299, 79554, 106532, 79554, 26299, 969, 256, 512, 2472, 110743, 503607, 1053857, 1053857

Offset

1,2

Comments

Table starts

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

....2.....2........9........23.........58.........149.........379.........969

....4.....9.......94.......368.......1455........6291.......26299......110743

....8....23......368......1972......12033.......79554......503607.....3213597

...16....58.....1455.....12033.....106532.....1053857.....9937412....94991698

...32...149.....6291.....79554....1053857....15607340...220508636..3153338130

...64...379....26299....503607....9937412...220508636..4659594557.99770514013

..128...969...110743...3213597...94991698..3153338130.99770514013

..256..2472...467422..20509600..904380131.44990020782

..512..6304..1977507.131200351.8640101337

.1024.16057..8372888.838727086

.2048.40876.35432404

Links

R. H. Hardin, Table of n, a(n) for n = 1..111

Example

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

Crossrefs

Column 1 is A000079(n-1)

Sequence in context: A083779 A045865 A319862 * A054134 A319822 A005127

Adjacent sequences: A220974 A220975 A220976 * A220978 A220979 A220980

Keyword

nonn,tabl

Author

R. H. Hardin Dec 27 2012

Status

approved