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A183501
T(n,k)=Half the number of nXk 0..2 arrays with no element equal to the sum mod 3 of its horizontal and vertical neighbors
9
1, 3, 3, 4, 9, 4, 8, 36, 36, 8, 18, 128, 256, 128, 18, 32, 540, 2088, 2088, 540, 32, 64, 2048, 16512, 33057, 16512, 2048, 64, 132, 8256, 131072, 524288, 524288, 131072, 8256, 132, 256, 32784, 1048576, 8388608, 16796160, 8388608, 1048576, 32784, 256, 512, 131328
OFFSET
1,2
COMMENTS
Table starts
...1......3.........4...........8...........18............32............64
...3......9........36.........128..........540..........2048..........8256
...4.....36.......256........2088........16512........131072.......1048576
...8....128......2088.......33057.......524288.......8388608.....134226432
..18....540.....16512......524288.....16796160.....536870912...17180393472
..32...2048....131072.....8388608....536870912...34359738368.2199023255552
..64...8256...1048576...134226432..17180393472.2199023255552
.132..32784...8392704..2147483648.549761399856
.256.131328..67113216.34360795152
.512.524288.536870912
LINKS
EXAMPLE
Some solutions for 4X3
..0..2..0....2..0..0....0..1..1....0..0..1....1..0..2....0..2..0....1..0..2
..0..0..2....1..0..1....1..1..2....2..0..2....2..2..0....2..0..2....2..2..1
..1..0..1....0..0..0....1..2..1....1..1..0....0..1..1....1..1..0....0..1..2
..2..2..1....1..2..0....0..1..1....2..2..1....1..2..1....2..2..1....1..2..2
CROSSREFS
Column 6 is half of A183501, powers of 64
Sequence in context: A197672 A348884 A284115 * A086239 A016605 A374628
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin Jan 05 2011
STATUS
approved