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