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Number of (n+1)X6 0..1 arrays with the number of clockwise edge increases in every 2X2 subblock the same
1

%I #5 Mar 31 2012 12:37:05

%S 976,15568,253072,4136296,67731268,1109832184,18189909484,

%T 298154846440,4887277903816,80111933563468,1313194979326324,

%U 21525927546323464,352853780193705268,5783993041849734796,94811448308361126868

%N Number of (n+1)X6 0..1 arrays with the number of clockwise edge increases in every 2X2 subblock the same

%C Column 5 of A205255

%H R. H. Hardin, <a href="/A205252/b205252.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 31*a(n-1) -321*a(n-2) +1569*a(n-3) -4179*a(n-4) +6420*a(n-5) -5671*a(n-6) +2668*a(n-7) -516*a(n-8)

%e Some solutions for n=4

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Jan 24 2012