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A189617 T(n,k)=Number of nXk binary arrays without the pattern 0 1 0 diagonally, antidiagonally or horizontally 13
2, 4, 4, 7, 16, 8, 12, 49, 64, 16, 21, 144, 292, 256, 32, 37, 441, 1164, 1723, 1024, 64, 65, 1369, 5238, 8496, 10327, 4096, 128, 114, 4225, 25046, 50024, 65160, 61996, 16384, 256, 200, 12996, 116100, 357323, 532565, 515560, 371641, 65536, 512, 351, 40000 (list; table; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Table starts
....2.......4........7.........12..........21.............37...............65
....4......16.......49........144.........441...........1369.............4225
....8......64......292.......1164........5238..........25046...........116100
...16.....256.....1723.......8496.......50024.........357323..........2482591
...32....1024....10327......65160......532565........6204967.........68121839
...64....4096....61996.....515560.....6110500......118571483.......2076231513
..128...16384...371641....4075336....69943253.....2239578131......61652076124
..256...65536..2227333...32031600...783072552....41236726541....1785011303305
..512..262144.13350748..251533888..8759983583...764615054191...52081392909734
.1024.1048576.80027347.1976926440.98440457351.14279876468131.1531637258052071
LINKS
EXAMPLE
Some solutions for 5X3
..1..1..0....0..0..1....1..1..1....1..1..1....1..1..1....0..0..1....0..0..0
..1..0..0....1..1..1....0..0..1....1..0..1....0..0..1....1..0..0....1..0..1
..0..1..1....0..1..1....0..0..1....1..0..1....0..0..1....0..1..1....0..0..0
..1..0..1....1..0..0....0..0..1....1..1..0....0..0..0....1..1..0....1..0..0
..1..0..0....1..0..1....1..0..0....1..1..0....0..0..1....1..1..1....1..0..0
CROSSREFS
Column 3 is A188748
Row 1 is A005251(n+3)
Row 2 is A188501
Sequence in context: A223680 A189264 A188992 * A189064 A188874 A095061
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin Apr 24 2011
STATUS
approved

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Last modified July 18 15:51 EDT 2024. Contains 374388 sequences. (Running on oeis4.)