A265218 T(n,k)=Number of nXk 0..n*k-1 arrays with upper left zero and lower right n*k-1 and each element differing from its horizontal and vertical neighbors by a power of three.

1, 1, 1, 1, 0, 1, 4, 16, 16, 4, 12, 0, 114, 0, 12, 32, 1958, 17740, 17740, 1958, 32, 109, 0, 959210, 0, 959210, 0, 109, 366, 654833, 30623109, 361386063, 361386063, 30623109, 654833, 366, 1189, 0, 1704484254, 0, 112968132978, 0, 1704484254, 0, 1189, 9855

Offset

1,7

Comments

Table starts

..1....1........1.........4.............12.............32...................109

..1....0.......16.........0...........1958..............0................654833

..1...16......114.....17740.........959210.......30623109............1704484254

..4....0....17740.........0......361386063..............0.........7949178726430

.12.1958...959210.361386063...112968132978.64809856589464.....84621589234807688

.32....0.30623109.........0.64809856589464..............0.830856356425163354553

Links

R. H. Hardin, Table of n, a(n) for n = 1..84

Example

Some solutions for n=3 k=4
..0..9..6..9....0..9..8..5....0..3..2..5....0..3..2..1....0..9.10..1
..3..6..9.10....9..8..7..8....3..2..5..2....3..4..3..2....9..8..9.10
..4..7.10.11....8.11.10.11....4..3..2.11....2..1..2.11...10..7..8.11

Crossrefs

Sequence in context: A147560 A266973 A029659 * A331055 A170836 A170875

Adjacent sequences: A265215 A265216 A265217 * A265219 A265220 A265221

Keyword

nonn,tabl

Author

R. H. Hardin, Dec 05 2015

Status

approved