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%I #8 Sep 26 2018 13:07:01
%S 0,20,286,4674,75346,1217338,19662930,317613674,5130366434,
%T 82870087802,1338588795186,21622035453578,349257679719938,
%U 5641509890213146,91126511137632082,1471953642505880106,23776258946350540066
%N Number of n X 5 0..3 arrays x(i,j) with each element horizontally or antidiagonally next to at least one element with value (x(i,j)+1) mod 4, no adjacent elements equal, and upper left element zero.
%H R. H. Hardin, <a href="/A231105/b231105.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 14*a(n-1) + 35*a(n-2) - 4*a(n-3) + 4*a(n-4) + 32*a(n-5) - 32*a(n-6).
%F Empirical g.f.: 2*x^2*(10 + 3*x - 15*x^2 - 10*x^3 - 16*x^4) / ((1 + 2*x)*(1 - 16*x - 3*x^2 + 10*x^3 - 24*x^4 + 16*x^5)). - _Colin Barker_, Sep 26 2018
%e Some solutions for n=4:
%e ..0..1..0..1..2....0..1..2..3..2....0..1..0..1..2....0..1..2..3..2
%e ..2..3..2..3..0....0..3..0..1..0....2..3..0..3..0....2..3..0..1..2
%e ..0..1..2..1..0....0..1..0..3..0....0..1..2..1..0....2..3..0..3..2
%e ..0..1..2..3..2....2..3..2..1..0....0..3..0..3..2....0..1..2..1..0
%Y Column 5 of A231108.
%K nonn
%O 1,2
%A _R. H. Hardin_, Nov 03 2013
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