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A206615 Number of (n+1)X3 0..2 arrays with every 2X3 or 3X2 subblock having no more than two equal edges, and new values 0..2 introduced in row major order 1

%I #5 Mar 31 2012 12:37:12

%S 86,1155,17708,270869,4099700,62250328,945314307,14350695690,

%T 217872572862,3307774471061,50218674117508,762421824428498,

%U 11575121642488239,175733960717293322,2668000123752680318

%N Number of (n+1)X3 0..2 arrays with every 2X3 or 3X2 subblock having no more than two equal edges, and new values 0..2 introduced in row major order

%C Column 2 of A206621

%H R. H. Hardin, <a href="/A206615/b206615.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 14*a(n-1) +9*a(n-2) +199*a(n-3) -961*a(n-4) +12*a(n-5) -65*a(n-6) +4451*a(n-7) -2813*a(n-8) +623*a(n-9) -1152*a(n-10) +1104*a(n-11) -1036*a(n-12) +248*a(n-13) -408*a(n-14) +280*a(n-15)

%e Some solutions for n=4

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Feb 10 2012

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Last modified April 25 01:06 EDT 2024. Contains 371964 sequences. (Running on oeis4.)