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Number of (n+1)X(3+1) 0..3 arrays with every element next to itself plus and minus one within the range 0..3 horizontally, vertically or antidiagonally, with no adjacent elements equal
1

%I #4 Nov 23 2013 07:58:58

%S 78,192,1192,4646,24848,120264,589172,2974842,14684400,73356856,

%T 366069576,1823482622,9105338968,45429265214,226696769918,

%U 1131682247286,5648099378356,28193675408362,140735701677746,702504316645786

%N Number of (n+1)X(3+1) 0..3 arrays with every element next to itself plus and minus one within the range 0..3 horizontally, vertically or antidiagonally, with no adjacent elements equal

%C Column 3 of A232391

%H R. H. Hardin, <a href="/A232386/b232386.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=6

%e ..0..1..2..3....0..2..0..1....3..0..2..1....0..1..2..3....0..1..0..2

%e ..2..3..1..0....1..3..2..0....2..1..3..0....2..3..1..0....3..2..3..1

%e ..1..0..3..1....2..0..3..1....0..2..1..3....1..0..3..1....0..1..0..2

%e ..3..1..2..0....3..1..2..3....1..3..2..1....3..1..2..3....3..2..1..3

%e ..2..0..1..2....2..3..0..1....0..1..3..0....2..3..0..1....0..3..2..0

%e ..3..2..3..1....0..2..3..2....3..0..2..1....0..1..3..2....1..0..1..2

%e ..0..1..2..0....1..0..1..3....2..1..3..0....3..2..1..0....2..3..0..3

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 23 2013