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Number of 4Xn arrays of occupancy after each element moves to some horizontal or antidiagonal neighbor, without consecutive moves in the same direction
1

%I #4 Jan 17 2013 17:28:14

%S 0,64,313,34751,802711,37622097,1219698562,47497298437,1684060316110,

%T 62602762212310,2271866000217269,83456368590958988,

%U 3046870056535199883,111585285541376641494,4080105459850623520340,149308509670479309110705

%N Number of 4Xn arrays of occupancy after each element moves to some horizontal or antidiagonal neighbor, without consecutive moves in the same direction

%C Row 4 of A221483

%H R. H. Hardin, <a href="/A221486/b221486.txt">Table of n, a(n) for n = 1..23</a>

%e Some solutions for n=3

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

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

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

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

%K nonn

%O 1,2

%A _R. H. Hardin_ Jan 17 2013