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Sum of neighbor maps: number of 3Xn binary arrays indicating the locations of corresponding elements equal to the sum mod 4 of their horizontal and antidiagonal neighbors in a random 0..3 3Xn array
1

%I #4 Mar 09 2013 10:59:03

%S 8,64,512,4000,32760,262104,2097152,16777216,134217728,1073741824,

%T 8589499198,68719476736,549755813888,4398046511104,35184372088832,

%U 281474975268864,2251799813683712,18014398509056000,144115188075855872

%N Sum of neighbor maps: number of 3Xn binary arrays indicating the locations of corresponding elements equal to the sum mod 4 of their horizontal and antidiagonal neighbors in a random 0..3 3Xn array

%C Row 3 of A222935

%H R. H. Hardin, <a href="/A222937/b222937.txt">Table of n, a(n) for n = 1..184</a>

%e Some solutions for n=3

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Mar 09 2013