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Number of nX5 0..3 arrays with values 0..3 introduced in row major order and no element equal to any horizontal or vertical neighbor
2

%I #5 Mar 31 2012 12:36:35

%S 14,1201,107042,9548295,851787199,75987485516,6778819400772,

%T 604736581320925,53948385378521909,4812720805166620356,

%U 429341516830025751982,38301440209010857426775,3416861087749979581617789

%N Number of nX5 0..3 arrays with values 0..3 introduced in row major order and no element equal to any horizontal or vertical neighbor

%C Column 5 of A198715

%H R. H. Hardin, <a href="/A198712/b198712.txt">Table of n, a(n) for n = 1..200</a>

%F Empirical: a(n) = 119*a(n-1) -2929*a(n-2) +25066*a(n-3) -76115*a(n-4) -887*a(n-5) +324153*a(n-6) -444798*a(n-7) +175392*a(n-8)

%e Some solutions with all values from 0 to 3 for n=4

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Oct 29 2011