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A215959
T(n,k)=Number of horizontal, vertical and diagonal neighbor colorings of the even squares of an nXk array with new integer colors introduced in row major order
8
1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 4, 10, 4, 2, 2, 12, 29, 29, 12, 2, 5, 34, 366, 313, 366, 34, 5, 5, 136, 1534, 6150, 6150, 1534, 136, 5, 15, 500, 35167, 145563, 847594, 145563, 35167, 500, 15, 15, 2440, 188835, 5219070, 30312074, 30312074, 5219070, 188835, 2440, 15
OFFSET
1,8
COMMENTS
Table starts
..1.....1........1...........1............2.............2.............5
..1.....1........2...........4...........12............34...........136
..1.....2.......10..........29..........366..........1534.........35167
..1.....4.......29.........313.........6150........145563.......5219070
..2....12......366........6150.......847594......30312074...10289785215
..2....34.....1534......145563.....30312074....9260821180.4761748786964
..5...136....35167.....5219070..10289785215.4761748786964
..5...500...188835...208181894.609400419815
.15..2440..6618472.11412814314
.15.10900.42756208
LINKS
EXAMPLE
Some solutions for n=4 k=4
..0..x..1..x....0..x..1..x....0..x..1..x....0..x..1..x....0..x..1..x
..x..2..x..3....x..2..x..3....x..1..x..0....x..2..x..3....x..2..x..3
..1..x..4..x....4..x..3..x....2..x..0..x....4..x..5..x....4..x..5..x
..x..0..x..5....x..5..x..2....x..3..x..1....x..5..x..2....x..0..x..4
CROSSREFS
Column 1 is A000110(floor((n-1)/2))
Odd squares: A216031
Sequence in context: A294783 A172021 A325182 * A209555 A059594 A183760
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin Aug 28 2012
STATUS
approved