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Number of (n+1)X4 0..2 arrays with every 2X2 subblock having one, two or three distinct clockwise edge differences
1

%I #5 Mar 31 2012 12:37:33

%S 4881,300653,18515113,1140445889,70247824293,4327063104645,

%T 266534819947777,16417791900623325,1011289627240583529,

%U 62292586103189236417,3837047451749209162417,236351291070066780092845

%N Number of (n+1)X4 0..2 arrays with every 2X2 subblock having one, two or three distinct clockwise edge differences

%C Column 3 of A210390

%H R. H. Hardin, <a href="/A210385/b210385.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 77*a(n-1) -947*a(n-2) -762*a(n-3) +40729*a(n-4) -22510*a(n-5) -553105*a(n-6) +407431*a(n-7) +2820807*a(n-8) -2312735*a(n-9) -5149392*a(n-10) +4029906*a(n-11) +3132370*a(n-12) -2109672*a(n-13) -422196*a(n-14) +359552*a(n-15) -43456*a(n-16)

%e Some solutions for n=4

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Mar 20 2012