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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

%I

%S 1,2,2,4,18,4,8,62,62,8,14,218,290,218,14,26,746,1284,1284,746,26,48,

%T 2600,5902,7770,5902,2600,48,88,9004,27086,46702,46702,27086,9004,88,

%U 162,31262,124436,286770,382996,286770,124436,31262,162,298,108492,572080

%N 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

%C Table starts

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

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

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

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

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

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

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

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

%C .162.108492..2629946..66701686..1869037596..54785401618..1636124088162

%C .298.376566.12090710.410364610.15673051556.629979277720.25973583237174

%H R. H. Hardin, <a href="/A232161/b232161.txt">Table of n, a(n) for n = 1..199</a>

%F Empirical for column k:

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

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

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

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

%e Some solutions for n=4 k=4

%e ..3..0..2..3....1..3..2..0....2..3..1..2....3..1..2..3....1..0..3..0

%e ..2..1..0..1....2..0..1..2....1..2..0..3....2..0..1..2....2..1..2..1

%e ..0..2..3..2....3..2..0..3....0..3..1..2....1..3..0..1....3..0..3..2

%e ..3..0..1..3....1..3..2..1....2..0..3..1....2..1..2..3....1..2..0..1

%Y Column 1 is A135491(n-1)

%K nonn,tabl

%O 1,2

%A _R. H. Hardin_, Nov 19 2013

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Last modified December 1 18:55 EST 2022. Contains 358475 sequences. (Running on oeis4.)