A216460 T(n,k)=Number of horizontal, diagonal and antidiagonal neighbor colorings of the even squares of an nXk array with new integer colors introduced in row major order.

1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 7, 5, 5, 2, 5, 15, 20, 15, 5, 5, 15, 203, 203, 322, 52, 15, 5, 52, 716, 3429, 4140, 1335, 203, 15, 15, 203, 17733, 83440, 580479, 115975, 36401, 877, 52, 15, 877, 83440, 2711768, 18171918, 20880505, 4213597, 192713, 4140, 52, 52

Offset: 1

Author

R. H. Hardin Sep 07 2012

Keywords

• nonn
• tabl

Comments

Table starts

...1......1..........1............1...............2................2

...1......1..........1............2...............5...............15

...2......2..........7...........15.............203..............716

...2......5.........20..........203............3429............83440

...5.....15........322.........4140..........580479.........18171918

...5.....52.......1335.......115975........20880505.......6423127757

..15....203......36401......4213597......8195008751....3376465219485

..15....877.....192713....190899322....484968748793.2486327138729353

..52...4140....7712455..10480142147.348950573407587

..52..21147...49055292.682076806159

.203.115975.2659544320

.203.678570

Examples

			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..2..x..3....x..2..x..3....x..2..x..3
..4..x..5..x....0..x..4..x....4..x..5..x....3..x..0..x....0..x..1..x
..x..1..x..0....x..1..x..2....x..1..x..2....x..2..x..3....x..4..x..2
		

Links

• R. H. Hardin, Table of n, a(n) for n = 1..96

Crossrefs

Column 2 is A000110(n-1)

Column 4 is A020557(n-1)

Column 6 is A208051

Row 2 is A000110(n-2)

Odd squares: A216612