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Number of 4Xn 0..3 arrays x(i,j) with each element horizontally or antidiagonally next to at least one element with value (x(i,j)+1) mod 4, and upper left element zero
1

%I #4 Nov 06 2013 18:33:03

%S 0,0,66,1170,34786,1083188,31513702,918670552,26923332502,

%T 788665534214,23096502615266,676415379783970,19810153530144730,

%U 580179175498127842,16991673670981870826,497634173760064848450,14574184574564194067466

%N Number of 4Xn 0..3 arrays x(i,j) with each element horizontally or antidiagonally next to at least one element with value (x(i,j)+1) mod 4, and upper left element zero

%C Row 4 of A231285

%H R. H. Hardin, <a href="/A231287/b231287.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=3

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

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

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

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

%K nonn

%O 1,3

%A _R. H. Hardin_, Nov 06 2013