A220967 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..2 nXk array

1, 2, 2, 4, 8, 4, 8, 40, 40, 8, 16, 176, 405, 176, 16, 32, 744, 3561, 3561, 744, 32, 64, 3144, 29567, 60534, 29567, 3144, 64, 128, 13128, 242439, 993913, 993913, 242439, 13128, 128, 256, 54424, 1964902, 16142576

Offset

1,2

Comments

Table starts

...1.....2......4......8.....16.......32......64...128.256

...2.....8.....40....176....744.....3144...13128.54424

...4....40....405...3561..29567...242439.1964902

...8...176...3561..60534.993913.16142576

..16...744..29567.993913

..32..3144.242439

..64.13128

.128

Links

Table of n, a(n) for n=1..40.

Example

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

Crossrefs

Column 1 is A000079(n-1)

Sequence in context: A221024 A220545 A220751 * A221590 A137778 A000017

Adjacent sequences: A220964 A220965 A220966 * A220968 A220969 A220970

Keyword

nonn,tabl

Author

R. H. Hardin Dec 27 2012

Status

approved