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%I #4 Jan 02 2013 12:05:20
%S 0,0,8,178,2952,45842,693362,10369358,154285828,2290284810,
%T 33961683620,503356596054,7458718434538,110511504732170,
%U 1637306438141992,24257322689168866,359377884945226688,5324242140141530362
%N Number of 3Xn arrays of occupancy after each element moves to some horizontal or antidiagonal neighbor, without 2-loops
%C Row 3 of A221114
%H R. H. Hardin, <a href="/A221115/b221115.txt">Table of n, a(n) for n = 1..53</a>
%F Empirical: a(n) = 24*a(n-1) -144*a(n-2) +46*a(n-3) +1135*a(n-4) -908*a(n-5) -3663*a(n-6) +2438*a(n-7) +6528*a(n-8) -4340*a(n-9) -5525*a(n-10) +5164*a(n-11) -674*a(n-12) -528*a(n-13) -32*a(n-14) for n>15
%e Some solutions for n=3
%e ..0..1..0....0..2..1....0..2..1....0..2..1....0..1..1....0..2..0....0..2..1
%e ..1..3..1....1..2..1....1..3..0....1..3..1....0..3..1....1..2..1....0..2..1
%e ..1..2..0....0..2..0....1..1..0....0..1..0....1..2..0....1..2..0....1..2..0
%K nonn
%O 1,3
%A _R. H. Hardin_ Jan 02 2013
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