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Number of (n+1)X4 0..2 arrays with every 2X3 or 3X2 subblock having no more than four equal edges, and new values 0..2 introduced in row major order
1

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

%S 1085,86392,6885875,548812835,43740991174,3486207195767,

%T 277854703424333,22145337882995800,1765008776141025599,

%U 140673219629487281855,11211816614428114906158,893594616847882973762891

%N Number of (n+1)X4 0..2 arrays with every 2X3 or 3X2 subblock having no more than four equal edges, and new values 0..2 introduced in row major order

%C Column 3 of A206635

%H R. H. Hardin, <a href="/A206630/b206630.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 66*a(n-1) +970*a(n-2) +9295*a(n-3) +33266*a(n-4) +72056*a(n-5) -224448*a(n-6) +362688*a(n-7) -1135552*a(n-8) +493824*a(n-9) -311808*a(n-10) +294912*a(n-11)

%e Some solutions for n=4

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Feb 10 2012