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Sum of neighbor maps: number of nX3 binary arrays indicating the locations of corresponding elements equal to the sum mod 3 of their king-move neighbors in a random 0..2 nX3 array
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%I #4 Dec 08 2012 16:47:25

%S 8,48,324,4096,31744,262144,2011776,16728064,134217728,1073741824,

%T 8557195616,68719476736,549755813888,4397962625024,35175111229440,

%U 281474976710656,2251796592459776,18014398509481984,144112331924652032

%N Sum of neighbor maps: number of nX3 binary arrays indicating the locations of corresponding elements equal to the sum mod 3 of their king-move neighbors in a random 0..2 nX3 array

%C Column 3 of A220254

%H R. H. Hardin, <a href="/A220251/b220251.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=3

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Dec 08 2012