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Sum of neighbor maps: number of nX5 binary arrays indicating the locations of corresponding elements equal to the sum mod 3 of their horizontal and antidiagonal neighbors in a random 0..2 nX5 array
1

%I #4 Feb 18 2013 05:34:32

%S 24,1024,32768,1048576,33546240,1073741824,34359738368,1099510054912,

%T 35184372088832,1125899906842624,36028796750528512,

%U 1152921504606846976,36893488147419103232,1180591620674461630464,37778931862957161709568

%N Sum of neighbor maps: number of nX5 binary arrays indicating the locations of corresponding elements equal to the sum mod 3 of their horizontal and antidiagonal neighbors in a random 0..2 nX5 array

%C Column 5 of A222386

%H R. H. Hardin, <a href="/A222384/b222384.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 32*a(n-1) +256*a(n-3) -8192*a(n-4) -16384*a(n-6) +524288*a(n-7) for n>9

%e Some solutions for n=3

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Feb 18 2013