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A229847 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 2-x(i,j) 8

%I

%S 0,3,3,3,15,3,9,81,81,9,15,423,987,423,15,33,2247,13401,13401,2247,33,

%T 63,11925,178311,453837,178311,11925,63,129,63291,2381469,15269193,

%U 15269193,2381469,63291,129,255,335943,31783299,514371027,1296261759,514371027

%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 2-x(i,j)

%C Table starts

%C ...0......3.........3............9..............15..................33

%C ...3.....15........81..........423............2247...............11925

%C ...3.....81.......987........13401..........178311.............2381469

%C ...9....423.....13401.......453837........15269193...........514371027

%C ..15...2247....178311.....15269193......1296261759........110203382331

%C ..33..11925...2381469....514371027....110203382331......23643209345079

%C ..63..63291..31783299..17324310663...9366963651897....5071373978989773

%C .129.335943.424240833.583513743897.796197119067381.1087831682400037245

%H R. H. Hardin, <a href="/A229847/b229847.txt">Table of n, a(n) for n = 1..112</a>

%F Empirical for column k:

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

%F k=2: a(n) = 5*a(n-1) +2*a(n-2) -a(n-3) -5*a(n-4)

%F k=3: [order 15]

%F k=4: [order 53]

%e Some solutions for n=3 k=4

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

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

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

%Y Column 1 is A062510(n-1)

%K nonn,tabl

%O 1,2

%A _R. H. Hardin_, Oct 01 2013

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Last modified January 26 08:59 EST 2022. Contains 350580 sequences. (Running on oeis4.)