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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 (list; table; graph; refs; listen; history; text; internal format)
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

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Last modified June 29 07:33 EDT 2022. Contains 354910 sequences. (Running on oeis4.)