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A220810
T(n,k)=Equals one maps: number of nXk binary arrays indicating the locations of corresponding elements equal to exactly one of their horizontal, vertical and antidiagonal neighbors in a random 0..2 nXk array
5
1, 2, 2, 4, 8, 4, 8, 38, 38, 8, 16, 168, 371, 168, 16, 32, 726, 3466, 3466, 726, 32, 64, 3088, 30015, 62400, 30015, 3088, 64, 128, 12974, 250766, 1037774, 1037774, 250766, 12974, 128, 256, 54000, 2050888, 16734366, 33511894, 16734366, 2050888, 54000, 256, 512
OFFSET
1,2
COMMENTS
Table starts
...1......2........4.........8.........16.........32..........64........128
...2......8.......38.......168........726.......3088.......12974......54000
...4.....38......371......3466......30015.....250766.....2050888...16590068
...8....168.....3466.....62400....1037774...16734366...268264812.4294285044
..16....726....30015...1037774...33511894.1073575060.34359074337
..32...3088...250766..16734366.1073575060
..64..12974..2050888.268264812
.128..54000.16590068
.256.223118
.512
LINKS
EXAMPLE
Some solutions for n=3 k=4
..0..0..0..1....1..0..1..1....0..1..1..1....0..1..1..1....0..0..1..1
..1..1..0..1....1..1..0..1....0..1..0..0....0..0..0..1....0..1..0..0
..0..1..1..0....0..0..0..0....1..0..0..0....0..1..0..0....1..0..0..1
CROSSREFS
Column 1 is A000079(n-1)
Sequence in context: A317532 A222659 A116694 * A221024 A220545 A220751
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin Dec 22 2012
STATUS
approved