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A221429 T(n,k)=Number of nXk arrays of occupancy after each element moves to some horizontal or vertical neighbor, without consecutive moves in the same direction 5

%I

%S 0,1,1,0,9,0,1,42,42,1,0,217,236,217,0,1,1116,4390,4390,1116,1,0,5722,

%T 46288,194879,46288,5722,0,1,29383,622615,6688747,6688747,622615,

%U 29383,1,0,150821,7432234,250167826,594252456,250167826,7432234,150821,0,1

%N T(n,k)=Number of nXk arrays of occupancy after each element moves to some horizontal or vertical neighbor, without consecutive moves in the same direction

%C Table starts

%C .0......1........0..........1...........0...........1.............0

%C .1......9.......42........217........1116........5722.........29383

%C .0.....42......236.......4390.......46288......622615.......7432234

%C .1....217.....4390.....194879.....6688747...250167826....9077677881

%C .0...1116....46288....6688747...594252456.63104234772.6231370575592

%C .1...5722...622615..250167826.63104234772

%C .0..29383..7432234.9077677881

%C .1.150821.93888241

%C .0.774219

%C .1

%H R. H. Hardin, <a href="/A221429/b221429.txt">Table of n, a(n) for n = 1..60</a>

%e Some solutions for n=3 k=4

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

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

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

%K nonn,tabl

%O 1,5

%A _R. H. Hardin_ Jan 15 2013

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Last modified August 16 07:50 EDT 2022. Contains 356160 sequences. (Running on oeis4.)