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Number of (n+1)X(1+1) 0..3 arrays with no element equal to all horizontal neighbors or equal to all vertical neighbors, and new values 0..3 introduced in row major order
1

%I #5 Feb 27 2014 20:35:49

%S 4,25,295,3113,33837,365740,3958594,42834071,463516595,5015744275,

%T 54275869563,587324222844,6355490845488,68773364113485,

%U 744203045653967,8053091185427477,87143257529984401,942985390024669100

%N Number of (n+1)X(1+1) 0..3 arrays with no element equal to all horizontal neighbors or equal to all vertical neighbors, and new values 0..3 introduced in row major order

%C Column 1 of A238515

%H R. H. Hardin, <a href="/A238510/b238510.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 10*a(n-1) +13*a(n-2) -44*a(n-3) -7*a(n-4) +14*a(n-5)

%e Some solutions for n=5

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Feb 27 2014