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%I #4 Apr 10 2014 17:55:29
%S 5,193,7980,332412,13844254,576606991,24015292771,1000221764213,
%T 41658596795154,1735053968891083,72263890048725573,
%U 3009744886107001662,125353953016217917597,5220912114439726318651,217447656421647208273762
%N Number of nX4 0..3 arrays with no element equal to a different number of vertical neighbors than horizontal neighbors, with new values 0..3 introduced in row major order
%C Column 4 of A240706
%H R. H. Hardin, <a href="/A240702/b240702.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 45*a(n-1) -79*a(n-2) -2693*a(n-3) +6906*a(n-4) +11122*a(n-5) -82634*a(n-6) -122470*a(n-7) +1250800*a(n-8) -381472*a(n-9) -4689240*a(n-10) +10859688*a(n-11) +12837510*a(n-12) -33250446*a(n-13) -54296730*a(n-14) +18494730*a(n-15) +56054997*a(n-16) +33620751*a(n-17) +59068683*a(n-18) -29229255*a(n-19) -70150212*a(n-20)
%e Some solutions for n=3
%e ..0..1..0..1....0..0..1..2....0..1..0..2....0..1..2..1....0..1..0..2
%e ..2..3..1..2....0..0..3..0....1..0..3..0....1..2..1..0....3..2..1..0
%e ..3..1..0..1....3..2..1..2....0..1..2..3....3..1..0..3....0..1..0..1
%K nonn
%O 1,1
%A _R. H. Hardin_, Apr 10 2014
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