A232161 T(n,k)=Number of nXk 0..3 arrays with every 0 next to a 1, every 1 next to a 2 and every 2 next to a 3 horizontally, vertically or antidiagonally, and no adjacent values equal.

1, 2, 2, 4, 18, 4, 8, 62, 62, 8, 14, 218, 290, 218, 14, 26, 746, 1284, 1284, 746, 26, 48, 2600, 5902, 7770, 5902, 2600, 48, 88, 9004, 27086, 46702, 46702, 27086, 9004, 88, 162, 31262, 124436, 286770, 382996, 286770, 124436, 31262, 162, 298, 108492, 572080

Offset: 1

Author

R. H. Hardin, Nov 19 2013

Keywords

• nonn
• tabl

Comments

Table starts

...1......2........4.........8..........14...........26.............48

...2.....18.......62.......218.........746.........2600...........9004

...4.....62......290......1284........5902........27086.........124436

...8....218.....1284......7770.......46702.......286770........1767266

..14....746.....5902.....46702......382996......3183932.......26694774

..26...2600....27086....286770.....3183932.....36275078......415332300

..48...9004...124436...1767266....26694774....415332300.....6564512068

..88..31262...572080..10830650...223026806...4764939084...103384156384

.162.108492..2629946..66701686..1869037596..54785401618..1636124088162

.298.376566.12090710.410364610.15673051556.629979277720.25973583237174

Examples

			Some solutions for n=4 k=4
..3..0..2..3....1..3..2..0....2..3..1..2....3..1..2..3....1..0..3..0
..2..1..0..1....2..0..1..2....1..2..0..3....2..0..1..2....2..1..2..1
..0..2..3..2....3..2..0..3....0..3..1..2....1..3..0..1....3..0..3..2
..3..0..1..3....1..3..2..1....2..0..3..1....2..1..2..3....1..2..0..1
		

Links

• R. H. Hardin, Table of n, a(n) for n = 1..199

Crossrefs

Column 1 is A135491(n-1)

Formula

Empirical for column k:

k=1: a(n) = a(n-1) +a(n-2) +a(n-3) for n>4

k=2: [order 10] for n>11

k=3: [order 30] for n>33

k=4: [order 94] for n>97