A183368 T(n,k)=Number of nXk binary arrays with no element equal to the sum mod 3 of its horizontal and vertical neighbors.

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

Offset: 1

Author

R. H. Hardin Jan 04 2011

Keywords

• nonn
• tabl

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

Examples

			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
		

Links

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

Crossrefs

Column 1 is A000931(n+6)