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A202435 T(n,k)=Number of (n+2)X(k+2) binary arrays avoiding patterns 000 and 001 in rows, columns and nw-to-se diagonals 9
108, 390, 390, 1344, 2100, 1344, 4680, 10080, 10080, 4680, 16254, 50310, 67072, 50310, 16254, 56508, 247800, 463632, 463632, 247800, 56508, 196350, 1226040, 3166800, 4502836, 3166800, 1226040, 196350, 682452, 6056600, 21708320, 42948906 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

.....108.......390........1344..........4680...........16254.............56508

.....390......2100.......10080.........50310..........247800...........1226040

....1344.....10080.......67072........463632.........3166800..........21708320

....4680.....50310......463632.......4502836........42948906.........412198592

...16254....247800.....3166800......42948906.......570876264........7639914240

...56508...1226040....21708320.....412198592......7639914240......142785263584

..196350...6056600...148654000....3947786700....102007509450.....2660934612820

..682452..29936040..1018262528...37835503602...1363052811036....49637957849364

.2371680.147935520..6974320896..362534238144..18208854699840...925648169620608

.8242608.731109730.47770334768.3473997901920.243269546365104.17263478410092412

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..609

EXAMPLE

Some solutions for n=3 k=3

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

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

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

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

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

CROSSREFS

Sequence in context: A202310 A192793 A182171 * A202428 A224526 A251270

Adjacent sequences:  A202432 A202433 A202434 * A202436 A202437 A202438

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin Dec 19 2011

STATUS

approved

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Last modified August 15 01:40 EDT 2020. Contains 336484 sequences. (Running on oeis4.)