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Number of nX2 (0,1,2) arrays of permanents of 2X2 subblocks of some (n+1)X3 binary array
1

%I #4 Jun 19 2013 06:14:33

%S 9,71,417,2291,12961,75111,435829,2516107,14498679,83596597,482294269,

%T 2782594803,16052069059,92596152241,534149182269,3081333299995,

%U 17775212697869,102539091355747,591512212912103,3412229156562681

%N Number of nX2 (0,1,2) arrays of permanents of 2X2 subblocks of some (n+1)X3 binary array

%C Column 2 of A226852

%H R. H. Hardin, <a href="/A226846/b226846.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 6*a(n-1) -8*a(n-2) +29*a(n-3) +59*a(n-4) -27*a(n-5) +80*a(n-6) -237*a(n-7) -912*a(n-8) -793*a(n-9) -835*a(n-10) -285*a(n-11) +483*a(n-12) +635*a(n-13) +968*a(n-14) +721*a(n-15) +103*a(n-16) -233*a(n-17) -237*a(n-18) -72*a(n-19)

%e Some solutions for n=3

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Jun 19 2013