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A207994 Number of nX5 0..2 arrays with new values 0..2 introduced in row major order and no element equal to any horizontal or vertical neighbor (colorings ignoring permutations of colors).

%I A207994 #12 Nov 23 2015 05:53:00
%S A207994 8,81,853,9075,96831,1034073,11045757,117997043,1260537911,
%T A207994 13466147569,143857201093,1536809621307,16417559602831,
%U A207994 175386899980873,1873638094198285,20015860487662275,213827138093982759
%N A207994 Number of nX5 0..2 arrays with new values 0..2 introduced in row major order and no element equal to any horizontal or vertical neighbor (colorings ignoring permutations of colors).
%C A207994 Column 5 of A207997.
%H A207994 R. H. Hardin, <a href="/A207994/b207994.txt">Table of n, a(n) for n = 1..210</a>
%H A207994 <a href="/index/Rec#order_05">Index entries for linear recurrences with constant coefficients</a>, signature (16,-65,92,-48,8).
%F A207994 a(n) = 16*a(n-1) -65*a(n-2) +92*a(n-3) -48*a(n-4) +8*a(n-5).
%F A207994 G.f.: -x*(8-47*x+77*x^2-44*x^3+8*x^4) / ( -1+16*x-65*x^2+92*x^3-48*x^4+8*x^5 ). - _R. J. Mathar_, Nov 23 2015
%e A207994 Some solutions for n=4
%e A207994 ..0..1..0..2..0....0..1..2..0..1....0..1..0..1..2....0..1..2..1..2
%e A207994 ..1..0..2..1..2....2..0..1..2..0....1..2..1..2..1....1..2..0..2..0
%e A207994 ..2..1..0..2..0....1..2..0..1..2....2..0..2..0..2....2..0..2..0..1
%e A207994 ..0..2..1..0..2....2..0..2..0..1....1..2..1..2..0....1..2..1..2..0
%K A207994 nonn
%O A207994 1,1
%A A207994 _R. H. Hardin_, Feb 22 2012