A221290 T(n,k) = Equals two maps: number of n X k binary arrays indicating the locations of corresponding elements equal to exactly two of their horizontal and antidiagonal neighbors in a random 0..3 n X k array.

1, 1, 1, 2, 4, 1, 4, 16, 12, 1, 7, 52, 92, 37, 1, 12, 200, 673, 556, 114, 1, 21, 792, 5912, 9107, 3332, 351, 1, 37, 3080, 48298, 172904, 123958, 19996, 1081, 1, 65, 12164, 396846, 2890017, 4983598, 1686304, 119972, 3329, 1, 114, 47827, 3240527, 49684593

Offset

1,4

Comments

Table starts

.1.....1.......2.........4..........7..........12.........21........37

.1.....4......16........52........200.........792.......3080.....12164

.1....12......92.......673.......5912.......48298.....396846...3240527

.1....37.....556......9107.....172904.....2890017...49684593.821323042

.1...114....3332....123958....4983598...172905144.6138441061

.1...351...19996...1686304..143511784.10344276279

.1..1081..119972..22931365.4129628435

.1..3329..719836.311813067

.1.10252.4319012

.1.31572

.1

Links

R. H. Hardin, Table of n, a(n) for n = 1..70

Example

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

Crossrefs

Column 2 is A099098.

Column 3 is A220932.

Column 4 is A220933.

Row 1 is A005251(n+1).

Row 2 is A220936.

Sequence in context: A236471 A220328 A220935 * A078739 A004597 A077623

Adjacent sequences: A221287 A221288 A221289 * A221291 A221292 A221293

Keyword

nonn,tabl

Author

R. H. Hardin, Jan 09 2013

Status

approved