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 A219398 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 2

%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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Last modified March 29 12:22 EDT 2023. Contains 361599 sequences. (Running on oeis4.)