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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 8
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 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,2

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

LINKS

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

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

EXAMPLE

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

CROSSREFS

Column 1 is A135491(n-1)

Sequence in context: A267218 A051285 A079556 * A335684 A052628 A006853

Adjacent sequences:  A232158 A232159 A232160 * A232162 A232163 A232164

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Nov 19 2013

STATUS

approved

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Last modified October 3 09:59 EDT 2022. Contains 357231 sequences. (Running on oeis4.)