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

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

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

Adjacent sequences:  A215956 A215957 A215958 * A215960 A215961 A215962

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin Aug 28 2012

STATUS

approved

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Last modified December 4 02:38 EST 2021. Contains 349469 sequences. (Running on oeis4.)