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A230275 T(n,k)=Number of nXk 0..2 arrays x(i,j) with each element horizontally or vertically next to at least one element with value (x(i,j)+1) mod 3, and upper left element zero 8

%I

%S 0,0,0,0,0,0,0,2,2,0,0,8,28,8,0,0,30,258,258,30,0,0,108,2318,5734,

%T 2318,108,0,0,386,19996,115630,115630,19996,386,0,0,1376,173042,

%U 2348840,5524854,2348840,173042,1376,0,0,4902,1495602,47524048,261026756

%N T(n,k)=Number of nXk 0..2 arrays x(i,j) with each element horizontally or vertically next to at least one element with value (x(i,j)+1) mod 3, and upper left element zero

%C Table starts

%C .0....0.......0.........0............0...............0..................0

%C .0....0.......2.........8...........30.............108................386

%C .0....2......28.......258.........2318...........19996.............173042

%C .0....8.....258......5734.......115630.........2348840...........47524048

%C .0...30....2318....115630......5524854.......261026756........12303458948

%C .0..108...19996...2348840....261026756.....28716109350......3159756711522

%C .0..386..173042..47524048..12303458948...3159756711522....810027275568580

%C .0.1376.1495602.960953664.580318201510.347321368287746.207640367754692812

%H R. H. Hardin, <a href="/A230275/b230275.txt">Table of n, a(n) for n = 1..127</a>

%F Empirical for column k:

%F k=1: a(n) = a(n-1)

%F k=2: a(n) = 4*a(n-1) -a(n-2) -2*a(n-3)

%F k=3: [order 10]

%F k=4: [order 34]

%e Some solutions for n=3 k=4

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

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

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

%K nonn,tabl

%O 1,8

%A _R. H. Hardin_, Oct 14 2013

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Last modified January 26 17:17 EST 2023. Contains 359833 sequences. (Running on oeis4.)