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%I #6 Nov 07 2013 05:20:49
%S 4,16,69,301,1414,6850,33316,162796,797293,3906788,19152603,93902795,
%T 460455941,2257842932,11071788203,54292311074,266234310441,
%U 1305534117780,6401974363527,31393453449193,153944680060888,754901179958837
%N Number of (n+1)X(3+1) 0..2 arrays with no element unequal to a strict majority of its horizontal, vertical and antidiagonal neighbors, with values 0..2 introduced in row major order
%C Column 3 of A231302
%H R. H. Hardin, <a href="/A231297/b231297.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 3*a(n-1) +17*a(n-2) -23*a(n-3) -78*a(n-4) -11*a(n-5) +143*a(n-6) +431*a(n-7) -362*a(n-8) -763*a(n-9) +176*a(n-10) -60*a(n-11) +336*a(n-12) +448*a(n-13) -256*a(n-14) for n>16
%e Some solutions for n=4
%e ..0..0..0..0....0..0..0..0....0..0..0..0....0..0..0..1....0..0..0..0
%e ..0..0..0..1....0..0..0..1....0..0..0..1....0..0..1..1....1..1..0..0
%e ..0..1..1..1....0..0..1..1....0..1..1..1....0..0..1..1....1..1..0..0
%e ..1..1..2..2....1..1..1..0....1..1..1..1....0..1..1..1....1..1..0..0
%e ..1..2..2..2....1..1..0..0....1..1..1..1....1..1..1..1....1..1..0..0
%K nonn
%O 1,1
%A _R. H. Hardin_, Nov 07 2013
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