%I #4 Dec 08 2012 16:48:03
%S 16,256,4096,45792,1048576,16777216,268435456,4294967296,68476059648,
%T 1099511627776,17592186044416,281474976710656,4503599627370496,
%U 72056280260730880,1152921504606846976,18446744073709551616
%N Sum of neighbor maps: number of nX4 binary arrays indicating the locations of corresponding elements equal to the sum mod 3 of their king-move neighbors in a random 0..2 nX4 array
%C Column 4 of A220254
%H R. H. Hardin, <a href="/A220252/b220252.txt">Table of n, a(n) for n = 1..210</a>
%e Some solutions for n=3
%e ..0..1..1..1....0..1..0..0....0..1..1..1....0..1..0..0....0..1..1..1
%e ..1..1..0..0....1..0..1..1....1..0..1..0....0..0..0..0....1..1..0..0
%e ..0..0..0..1....0..1..0..1....0..0..1..1....1..0..0..0....0..0..1..1
%K nonn
%O 1,1
%A _R. H. Hardin_ Dec 08 2012