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%I
%S 4,4,16,43,122,345,979,2791,7936,22540,64031,181974,517221,1469927,
%T 4177203,11870804,33735384,95872371,272457370,774287065,2200420843,
%U 6253312335,17771112208,50503204860,143523553079,407875327102
%N Unchanging value maps: number of n X 3 binary arrays indicating the locations of corresponding elements unequal to no king-move neighbor in a random 0..1 n X 3 array
%C Column 3 of A219403.
%H R. H. Hardin, <a href="/A219398/b219398.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 3*a(n-1) - 2*a(n-2) + 3*a(n-3) + 4*a(n-4) + 2*a(n-5) - 5*a(n-6) - 2*a(n-7) for n>8.
%F Empirical g.f.: x*(4 - 8*x + 12*x^2 - 9*x^3 - 3*x^4 - 7*x^5 + 7*x^6 + 2*x^7) / (1 - 3*x + 2*x^2 - 3*x^3 - 4*x^4 - 2*x^5 + 5*x^6 + 2*x^7). - _Colin Barker_, Mar 11 2018
%e Some solutions for n=3:
%e ..1..1..1....1..1..1....1..0..0....0..0..0....1..1..1....1..0..0....0..0..1
%e ..0..0..0....1..1..1....1..0..0....0..0..0....1..0..0....0..0..0....0..0..1
%e ..0..0..0....1..1..1....1..1..1....1..1..1....1..0..0....0..0..0....1..1..1
%Y Cf. A219403.
%K nonn
%O 1,1
%A _R. H. Hardin_, Nov 19 2012
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