A239152 - OEIS

A239152

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

%I #4 Mar 11 2014 15:31:16

%S 7,7,868,5775,209839,2709568,63961519,1049404191,21350167780,

%T 381843947671,7373045875687,135997241404032,2577824537597143,

%U 48074166516591223,905276493099636196,16948804700642238303

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

%C Column 3 of A239155

%H R. H. Hardin, <a href="/A239152/b239152.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 20*a(n-1) +86*a(n-2) -2504*a(n-3) +7634*a(n-4) +21878*a(n-5) -95663*a(n-6) +32018*a(n-7) +100940*a(n-8) -38416*a(n-9)

%e Some solutions for n=5

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Mar 11 2014