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

1,5

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

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

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

Adjacent sequences: A183371 A183372 A183373 * A183375 A183376 A183377

Keyword

nonn,tabl

Author

R. H. Hardin Jan 04 2011

Status

approved