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

1,6

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

Links

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

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..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

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

Sequence in context: A261733 A268341 A053633 * A156755 A090822 A091975

Adjacent sequences: A216457 A216458 A216459 * A216461 A216462 A216463

Keyword

nonn,tabl

Author

R. H. Hardin Sep 07 2012

Status

approved