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A203108 T(n,k)=Number of nXk binary arrays with every 1 immediately preceded by 0 0 to the left or above 7
1, 1, 1, 2, 1, 2, 3, 4, 4, 3, 4, 9, 23, 9, 4, 6, 16, 90, 90, 16, 6, 9, 36, 296, 592, 296, 36, 9, 13, 81, 1125, 3229, 3229, 1125, 81, 13, 19, 169, 4314, 20459, 27930, 20459, 4314, 169, 19, 28, 361, 15844, 130886, 290787, 290787, 130886, 15844, 361, 28, 41, 784, 58745 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,4

COMMENTS

Table starts

..1...1.....2......3........4..........6...........9............13

..1...1.....4......9.......16.........36..........81...........169

..2...4....23.....90......296.......1125........4314.........15844

..3...9....90....592.....3229......20459......130886........801559

..4..16...296...3229....27930.....290787.....3058275......30467160

..6..36..1125..20459...290787....4984843....86512536....1422678297

..9..81..4314.130886..3058275...86512536..2482513429...67503863246

.13.169.15844.801559.30467160.1422678297.67503863246.3024912314764

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..364

EXAMPLE

Some solutions for n=5 k=3

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

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

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

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

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

CROSSREFS

Column 1 is A000930

Column 2 is A000930^2

Sequence in context: A084612 A295164 A241419 * A230989 A321392 A030339

Adjacent sequences:  A203105 A203106 A203107 * A203109 A203110 A203111

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin Dec 29 2011

STATUS

approved

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Last modified February 26 09:27 EST 2020. Contains 332277 sequences. (Running on oeis4.)