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Number of nX4 binary arrays with no element equal to the mod 3 sum of its diagonal and antidiagonal neighbors
1

%I #5 Mar 31 2012 12:35:51

%S 1,9,16,49,64,144,729,2304,6724,22500,89401,368449,1399489,5345344,

%T 21501769,87796900,354531241,1422345796,5746246416,23369542641,

%U 94966283556,385048793529,1561870063504,6344716152384,25783758328441

%N Number of nX4 binary arrays with no element equal to the mod 3 sum of its diagonal and antidiagonal neighbors

%C Column 4 of A183374

%H R. H. Hardin, <a href="/A183371/b183371.txt">Table of n, a(n) for n = 1..200</a>

%e Some solutions for 5X4

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

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

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

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

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

%K nonn

%O 1,2

%A _R. H. Hardin_ Jan 04 2011