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Number of (n+1) X 6 0..2 arrays with the number of clockwise edge increases in 2 X 2 subblocks nondecreasing, and counterclockwise edge increases nonincreasing, rightwards and downwards.
1

%I #7 Dec 12 2015 18:01:30

%S 26481,594348,14528199,369441411,9567269487,249853070682,

%T 6556642024200,172503406693200,4545389492802288,119878356782179572,

%U 3163274433238575696,83498862564488470557,2204480938367057407965,58208728563598806225396

%N Number of (n+1) X 6 0..2 arrays with the number of clockwise edge increases in 2 X 2 subblocks nondecreasing, and counterclockwise edge increases nonincreasing, rightwards and downwards.

%C Column 5 of A206542.

%H R. H. Hardin, <a href="/A206539/b206539.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=4:

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Feb 09 2012