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A181224 T(n,k)=Number of nXk binary matrices with no three 1's adjacent in a line horizontally, vertically, diagonally or antidiagonally 7
2, 4, 4, 7, 16, 7, 13, 49, 49, 13, 24, 169, 230, 169, 24, 44, 576, 1209, 1209, 576, 44, 81, 1936, 6475, 10732, 6475, 1936, 81, 149, 6561, 34020, 97764, 97764, 34020, 6561, 149, 274, 22201, 179097, 845531, 1495392, 845531, 179097, 22201, 274, 504, 75076 (list; table; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Table starts
...2......4........7.........13............24..............44................81
...4.....16.......49........169...........576............1936..............6561
...7.....49......230.......1209..........6475...........34020............179097
..13....169.....1209......10732.........97764..........845531...........7426986
..24....576.....6475......97764.......1495392........21513936.........316896477
..44...1936....34020.....845531......21513936.......507962194.......12297765846
..81...6561...179097....7426986.....316896477.....12297765846......493466099722
.149..22201...944514...65480503....4672517426....298705742479....19886730240632
.274..75076..4978956..574725752...68571093673...7214603356059...794878208506289
.504.254016.26241679.5050028956.1008146803248.174532135006271.31852650059853831
LINKS
EXAMPLE
Some avoided solutions for 4X4
..0..1..1..1....0..0..0..0....0..0..0..0....0..0..0..0....0..0..0..0
..0..0..0..1....1..0..1..0....0..0..0..1....1..1..0..0....0..1..0..0
..0..0..0..0....0..1..0..0....1..1..1..0....0..1..0..0....0..0..0..0
..0..0..0..0....0..0..1..0....0..0..0..0....0..1..0..0....0..1..1..1
CROSSREFS
Column 1 is A000073
Column 2 is A085697
Sequence in context: A207088 A207182 A206994 * A188567 A262274 A223669
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin Oct 10 2010
STATUS
approved

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Last modified June 21 12:37 EDT 2024. Contains 373544 sequences. (Running on oeis4.)