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A222378
T(n,k)=Number of nXk 0..3 arrays with no more than floor(nXk/2) elements unequal to at least one horizontal or vertical neighbor, with new values introduced in row major 0..3 order
7
1, 1, 1, 1, 1, 1, 4, 5, 5, 4, 5, 18, 9, 18, 5, 14, 63, 118, 118, 63, 14, 17, 234, 498, 1391, 498, 234, 17, 75, 1163, 8111, 20340, 20340, 8111, 1163, 75, 95, 4953, 37107, 342953, 271141, 342953, 37107, 4953, 95, 411, 24021, 676485, 6221698, 16985929, 16985929
OFFSET
1,7
COMMENTS
Table starts
....1......1........1..........4...........5..........14..........17
....1......1........5.........18..........63.........234........1163
....1......5........9........118.........498........8111.......37107
....4.....18......118.......1391.......20340......342953.....6221698
....5.....63......498......20340......271141....16985929...286125939
...14....234.....8111.....342953....16985929...963154789.61522684225
...17...1163....37107....6221698...286125939.61522684225
...75...4953...676485..113556454.20743320247
...95..24021..3140167.2103238076
..411.109395.58995438
..519.536457
.2522
LINKS
EXAMPLE
Some solutions for n=4 k=4
..0..0..0..0....0..0..0..0....0..0..0..0....0..1..1..1....0..1..2..2
..0..0..0..0....0..0..0..0....1..1..0..0....0..2..1..1....1..1..1..2
..0..0..1..0....0..0..0..0....2..0..0..0....3..1..1..1....1..1..1..1
..2..1..0..0....1..0..2..2....0..0..0..0....1..1..1..1....1..1..1..1
CROSSREFS
Sequence in context: A280191 A222703 A222587 * A360853 A094848 A308740
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin Feb 17 2013
STATUS
approved