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Number of 3Xn 0..3 arrays with every 0 next to a 1, every 1 next to a 2 and every 2 next to a 3 horizontally, diagonally or antidiagonally, and no adjacent values equal
1

%I #4 Nov 23 2013 07:35:36

%S 1,58,586,4404,32722,259458,2046700,16005328,125458506,984034642,

%T 7715900888,60499523096,474378832026,3719632557790,29165838646828,

%U 228690711059796,1793174932294258,14060373065557530,110248073913792604

%N Number of 3Xn 0..3 arrays with every 0 next to a 1, every 1 next to a 2 and every 2 next to a 3 horizontally, diagonally or antidiagonally, and no adjacent values equal

%C Row 3 of A232376

%H R. H. Hardin, <a href="/A232378/b232378.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 6*a(n-1) +4*a(n-2) +69*a(n-3) +48*a(n-4) +355*a(n-5) +241*a(n-6) +1332*a(n-7) +2318*a(n-8) +448*a(n-9) -1416*a(n-10) -784*a(n-11) +64*a(n-12) +48*a(n-13) for n>14

%e Some solutions for n=5

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

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

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

%K nonn

%O 1,2

%A _R. H. Hardin_, Nov 23 2013