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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
6
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
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
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin Dec 24 2012
STATUS
approved