A183374 T(n,k)=Number of nXk binary arrays with no element equal to the mod 3 sum of its diagonal and antidiagonal neighbors.

1, 1, 1, 1, 4, 1, 1, 4, 4, 1, 1, 9, 6, 9, 1, 1, 16, 16, 16, 16, 1, 1, 25, 30, 49, 30, 25, 1, 1, 49, 64, 64, 64, 64, 49, 1, 1, 81, 165, 144, 195, 144, 165, 81, 1, 1, 144, 361, 729, 625, 625, 729, 361, 144, 1, 1, 256, 875, 2304, 2580, 3969, 2580, 2304, 875, 256, 1, 1, 441, 2116

Offset: 1

Author

R. H. Hardin Jan 04 2011

Keywords

• nonn
• tabl

Comments

Table starts

.1...1....1.....1......1.......1.........1..........1...........1.............1

.1...4....4.....9.....16......25........49.........81.........144...........256

.1...4....6....16.....30......64.......165........361.........875..........2116

.1...9...16....49.....64.....144.......729.......2304........6724.........22500

.1..16...30....64....195.....625......2580.......8836.......34903........148996

.1..25...64...144....625....3969.....22801.....104329......580644.......3763600

.1..49..165...729...2580...22801....285516....1999396....15732530.....141039376

.1..81..361..2304...8836..104329...1999396...22743361...233203441....2719518201

.1.144..875..6724..34903..580644..15732530..233203441..3414837564...58892126329

.1.256.2116.22500.148996.3763600.141039376.2719518201.58892126329.1467194393284

Examples

			Some solutions for 6X5
..0..1..0..0..1....1..1..0..1..0....0..0..1..1..0....0..0..1..1..0
..0..1..0..0..1....0..0..0..1..0....1..1..0..1..0....1..1..0..1..0
..0..0..0..0..1....0..0..1..0..1....0..0..1..0..0....0..0..1..1..0
..1..0..0..0..0....0..1..1..1..0....0..0..1..0..0....0..0..0..0..0
..1..0..0..1..0....0..1..1..1..0....1..1..0..1..0....0..1..0..0..0
..1..0..0..1..0....0..0..1..0..0....0..0..1..1..0....0..1..0..1..1
		

Links

• R. H. Hardin, Table of n, a(n) for n = 1..337

Crossrefs

Column 2 is A133037(n+6)