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A232061 Number of nX4 0..2 arrays with every 0 next to a 1 and every 1 next to a 2 horizontally or vertically, with no adjacent values equal 1

%I #4 Nov 17 2013 13:55:31

%S 6,30,130,534,2230,9310,38870,162278,677510,2828606,11809446,49304494,

%T 205846518,859410282,3588042398,14980095674,62541977366,261113080850,

%U 1090148470882,4551375536978,19002016543538,79333517919430

%N Number of nX4 0..2 arrays with every 0 next to a 1 and every 1 next to a 2 horizontally or vertically, with no adjacent values equal

%C Column 4 of A232065

%H R. H. Hardin, <a href="/A232061/b232061.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 4*a(n-1) +a(n-2) -4*a(n-4) -3*a(n-5) +a(n-7) +3*a(n-8) -a(n-11)

%e Some solutions for n=7

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

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 17 2013

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Last modified April 25 05:18 EDT 2024. Contains 371964 sequences. (Running on oeis4.)