A220916 T(n,k)=Equals one maps: number of nXk binary arrays indicating the locations of corresponding elements equal to exactly one of their horizontal, diagonal and antidiagonal neighbors in a random 0..2 nXk array

1, 2, 1, 4, 8, 1, 8, 37, 38, 1, 16, 165, 379, 176, 1, 32, 749, 3687, 3299, 816, 1, 64, 3279, 30963, 61597, 27365, 3616, 1, 128, 13865, 253013, 1017676, 1004213, 220299, 15362, 1, 256, 57374, 2042071, 16524320, 32829580, 16172914, 1754781, 63484, 1, 512

Offset

1,2

Comments

Table starts

.1.....2.......4........8.......16.......32........64......128....256.512

.1.....8......37......165......749.....3279.....13865....57374.233955

.1....38.....379.....3687....30963...253013...2042071.16390010

.1...176....3299....61597..1017676.16524320.265639495

.1...816...27365..1004213.32829580

.1..3616..220299.16172914

.1.15362.1754781

.1.63484

.1

Links

R. H. Hardin, Table of n, a(n) for n = 1..49

Example

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

Crossrefs

Column 2 is A220542

Row 1 is A000079(n-1)

Sequence in context: A128412 A221660 A221062 * A221632 A071951 A264059

Adjacent sequences: A220913 A220914 A220915 * A220917 A220918 A220919

Keyword

nonn,tabl

Author

R. H. Hardin Dec 24 2012

Status

approved