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Number of nX2 0..3 arrays with no element equal to fewer vertical neighbors than horizontal neighbors, with new values 0..3 introduced in row major order
1

%I #5 Apr 19 2014 12:34:06

%S 1,8,85,1030,13011,165924,2121033,27129985,347071157,4440219758,

%T 56806066313,726751710350,9297746189765,118951351657555,

%U 1521812314158867,19469410910818078,249083253366686135,3186663809907191548

%N Number of nX2 0..3 arrays with no element equal to fewer vertical neighbors than horizontal neighbors, with new values 0..3 introduced in row major order

%C Column 2 of A241328

%H R. H. Hardin, <a href="/A241323/b241323.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 17*a(n-1) -57*a(n-2) +43*a(n-3) -37*a(n-4) +109*a(n-5) -62*a(n-6) -48*a(n-8) +36*a(n-9) for n>10

%e Some solutions for n=4

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

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

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

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

%K nonn

%O 1,2

%A _R. H. Hardin_, Apr 19 2014