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A183368 T(n,k)=Number of nXk binary arrays with no element equal to the sum mod 3 of its horizontal and vertical neighbors 6
1, 2, 2, 2, 3, 2, 3, 5, 5, 3, 4, 12, 18, 12, 4, 5, 21, 39, 39, 21, 5, 7, 41, 108, 138, 108, 41, 7, 9, 84, 288, 548, 548, 288, 84, 9, 12, 171, 795, 2129, 3102, 2129, 795, 171, 12, 16, 355, 2278, 8311, 17101, 17101, 8311, 2278, 355, 16, 21, 732, 6438, 32933, 95674, 137688 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Table starts

..1...2.....2......3........4.........5...........7............9.............12

..2...3.....5.....12.......21........41..........84..........171............355

..2...5....18.....39......108.......288.........795.........2278...........6438

..3..12....39....138......548......2129........8311........32933.........130750

..4..21...108....548.....3102.....17101.......95674.......543837........3094889

..5..41...288...2129....17101....137688.....1107441......8969225.......72989578

..7..84...795...8311....95674...1107441....12617557....145766281.....1687526938

..9.171..2278..32933...543837...8969225...145766281...2402945556....39693410307

.12.355..6438.130750..3094889..72989578..1687526938..39693410307...936460285557

.16.732.18394.519980.17654882.594531764.19534278264.655471213213.22047188457210

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..199

EXAMPLE

Some solutions for 6X5

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

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

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

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

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

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

CROSSREFS

Column 1 is A000931(n+6)

Sequence in context: A116997 A050142 A092964 * A156862 A318583 A076709

Adjacent sequences:  A183365 A183366 A183367 * A183369 A183370 A183371

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin Jan 04 2011

STATUS

approved

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Last modified July 1 07:25 EDT 2022. Contains 354952 sequences. (Running on oeis4.)