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A188523 T(n,k)=Number of nXk binary arrays without the pattern 1 1 0 diagonally, vertically or horizontally 9
2, 4, 4, 7, 16, 7, 12, 49, 49, 12, 20, 144, 229, 144, 20, 33, 400, 1016, 1016, 400, 33, 54, 1089, 4143, 6760, 4143, 1089, 54, 88, 2916, 16438, 40230, 40230, 16438, 2916, 88, 143, 7744, 63575, 231400, 342240, 231400, 63575, 7744, 143, 232, 20449, 242843, 1286120 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

...2.....4.......7........12.........20...........33.............54

...4....16......49.......144........400.........1089...........2916

...7....49.....229......1016.......4143........16438..........63575

..12...144....1016......6760......40230.......231400........1286120

..20...400....4143.....40230.....342240......2800798.......22015314

..33..1089...16438....231400....2800798.....32470385......359696109

..54..2916...63575...1286120...22015314....359696109.....5593606875

..88..7744..242843...7034258..169875850...3903047802....85072486586

.143.20449..918833..37987114.1291198707..41642655120..1270511986433

.232.53824.3457086.203649331.9730141740.440047202716.18779814902475

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..420

EXAMPLE

Some solutions for 5X3

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

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

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

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

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

CROSSREFS

Column 1 is A000071(n+3)

Sequence in context: A223716 A188607 A188851 * A206785 A188763 A188695

Adjacent sequences:  A188520 A188521 A188522 * A188524 A188525 A188526

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin Apr 02 2011

STATUS

approved

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Last modified June 28 07:21 EDT 2022. Contains 354903 sequences. (Running on oeis4.)