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%I #4 Nov 09 2013 06:47:57
%S 4,32,340,4179,54868,741430,10145989,139597860,1925134584,26574209688,
%T 366972060064,5068479573192,70008757982841,967029050764704,
%U 13357705471136801,184512744141282726,2548717919400219436
%N Number of (n+1)X(3+1) 0..3 arrays with no element unequal to a strict majority of its horizontal and antidiagonal neighbors, with values 0..3 introduced in row major order
%C Column 3 of A231451
%H R. H. Hardin, <a href="/A231446/b231446.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 37*a(n-1) -570*a(n-2) +5132*a(n-3) -31207*a(n-4) +138163*a(n-5) -465831*a(n-6) +1230771*a(n-7) -2586152*a(n-8) +4340528*a(n-9) -5811522*a(n-10) +6165034*a(n-11) -5094306*a(n-12) +3181860*a(n-13) -1438353*a(n-14) +441099*a(n-15) -81243*a(n-16) +6561*a(n-17)
%e Some solutions for n=6
%e ..0..0..0..0....0..0..0..0....0..0..0..0....0..0..0..0....0..0..0..0
%e ..0..0..1..1....0..0..0..1....0..0..0..0....0..0..0..1....0..0..1..1
%e ..1..1..0..0....1..1..1..2....0..1..1..1....1..1..1..1....1..1..1..0
%e ..1..0..0..2....2..2..2..2....1..2..2..2....2..2..2..2....0..0..0..1
%e ..0..2..2..0....3..3..3..3....2..2..2..1....2..0..0..2....0..0..1..1
%e ..2..0..0..2....1..1..1..1....2..2..1..1....0..0..2..2....2..2..2..1
%e ..0..0..2..2....0..0..0..0....0..0..0..0....0..0..0..0....2..2..1..1
%K nonn
%O 1,1
%A _R. H. Hardin_, Nov 09 2013
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