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A188695 T(n,k)=Number of nXk binary arrays without the pattern 0 1 0 diagonally, vertically, antidiagonally or horizontally 8
2, 4, 4, 7, 16, 7, 12, 49, 49, 12, 21, 144, 218, 144, 21, 37, 441, 857, 857, 441, 37, 65, 1369, 3609, 4008, 3609, 1369, 65, 114, 4225, 15942, 20662, 20662, 15942, 4225, 114, 200, 12996, 69852, 120839, 139307, 120839, 69852, 12996, 200, 351, 40000, 302053 (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

...7.....49.....218.......857.......3609........15942..........69852

..12....144.....857......4008......20662.......120839.........708519

..21....441....3609.....20662.....139307......1181340........9908740

..37...1369...15942....120839....1181340.....15547072......196218615

..65...4225...69852....708519....9908740....196218615.....3647921173

.114..12996..302053...3984317...75877068...2192313402....58576420100

.200..40000.1305379..22096751..567455273..24054473035...923989193674

.351.123201.5658937.123685638.4366586742.276006561506.15401563228402

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..263

EXAMPLE

Some solutions for 6X4

..0..0..0..0....0..0..0..1....1..1..0..1....1..1..1..0....0..1..1..1

..1..0..0..0....1..1..0..0....0..0..0..0....1..0..0..0....0..0..1..1

..1..0..0..0....1..1..1..0....1..0..0..1....1..0..0..0....0..0..1..1

..0..0..0..0....1..1..1..1....1..0..0..1....1..0..0..0....1..0..0..1

..1..0..0..0....1..1..0..1....1..0..1..1....1..0..0..0....1..0..0..1

..1..0..0..0....1..1..0..0....1..0..1..1....1..0..0..1....1..0..0..0

CROSSREFS

Column 1 is A005251(n+3)

Column 2 is A188501

Sequence in context: A188523 A206785 A188763 * A188508 A207000 A206883

Adjacent sequences:  A188692 A188693 A188694 * A188696 A188697 A188698

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin Apr 08 2011

STATUS

approved

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Last modified May 28 22:08 EDT 2022. Contains 354122 sequences. (Running on oeis4.)