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A183374
T(n,k)=Number of nXk binary arrays with no element equal to the mod 3 sum of its diagonal and antidiagonal neighbors
6
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
1,5
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
LINKS
EXAMPLE
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
CROSSREFS
Column 2 is A133037(n+6)
Sequence in context: A152716 A298575 A326039 * A176263 A110812 A151904
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin Jan 04 2011
STATUS
approved