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A220461 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..1 nXk array 6
1, 2, 2, 4, 4, 4, 8, 22, 22, 8, 16, 74, 108, 74, 16, 32, 250, 691, 691, 250, 32, 64, 848, 3872, 6255, 3872, 848, 64, 128, 2851, 20897, 58217, 58217, 20897, 2851, 128, 256, 9535, 112582, 530196, 864047, 530196, 112582, 9535, 256, 512, 31888, 605780, 4787009 (list; table; graph; refs; listen; history; text; internal format)
OFFSET
1,2
COMMENTS
Table starts
....1......2........4.........8.........16.........32.........64........128
....2......4.......22........74........250........848.......2851.......9535
....4.....22......108.......691.......3872......20897.....112582.....605780
....8.....74......691......6255......58217.....530196....4787009...42979644
...16....250.....3872.....58217.....864047...12754438..185951681.2697113973
...32....848....20897....530196...12754438..303102319.7147490007
...64...2851...112582...4787009..185951681.7147490007
..128...9535...605780..42979644.2697113973
..256..31888..3249132.385002942
..512.106775.17400206
.1024.357028
.2048
LINKS
EXAMPLE
Some solutions for n=3 k=4
..0..1..1..1....1..0..0..1....0..1..0..0....0..0..0..1....1..0..0..1
..1..0..0..0....1..0..0..0....0..0..0..0....0..0..0..1....0..0..0..1
..1..1..0..0....1..0..1..0....1..0..1..1....1..0..1..0....1..0..1..1
CROSSREFS
Column 1 is A000079(n-1)
Sequence in context: A317153 A316883 A317611 * A220287 A354492 A320195
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin Dec 15 2012
STATUS
approved

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Last modified April 16 19:48 EDT 2024. Contains 371754 sequences. (Running on oeis4.)