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Number of (4+1)X(n+1) 0..2 arrays with no element equal to all horizontal neighbors or unequal to all vertical neighbors, and new values 0..2 introduced in row major order
2

%I #4 Mar 21 2014 07:12:39

%S 13,68,1014,11108,131988,1533792,17931608,209295248,2443954640,

%T 28534764096,333172950560,3890104752256,45420709489664,

%U 530330059963392,6192109859155200,72298791884174336,844157402919585408

%N Number of (4+1)X(n+1) 0..2 arrays with no element equal to all horizontal neighbors or unequal to all vertical neighbors, and new values 0..2 introduced in row major order

%C Row 4 of A239537

%H R. H. Hardin, <a href="/A239538/b239538.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 8*a(n-1) +46*a(n-2) -22*a(n-3) -166*a(n-4) +28*a(n-5) +68*a(n-6) +208*a(n-7) -160*a(n-8) -48*a(n-9) +32*a(n-10)

%e Some solutions for n=4

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Mar 21 2014