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%I #9 Sep 14 2018 16:12:13
%S 14,128,1064,8592,68672,546752,4346752,34537984,274370048,2179421184,
%T 17311399936,137504870400,1092199604224,8675313975296,68907755405312,
%U 547332071161856,4347440512892928,34531574742253568,274283140633591808
%N Number of n X 2 0..3 arrays of the sum of the corresponding element, the element to the east and the element to the south in a larger (n+1) X 3 0..1 array.
%H R. H. Hardin, <a href="/A229386/b229386.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 12*a(n-1) - 36*a(n-2) + 32*a(n-3) - 16*a(n-4).
%F Empirical g.f.: 2*x*(1 - 2*x)*(7 - 6*x + 4*x^2) / (1 - 12*x + 36*x^2 - 32*x^3 + 16*x^4). - _Colin Barker_, Sep 14 2018
%e Some solutions for n=3:
%e 0 0 1 2 3 2 0 1 1 1 2 2 2 0 2 1 2 3 1 1
%e 1 0 3 1 1 1 1 0 1 2 1 2 1 0 0 1 2 3 3 3
%e 2 1 2 1 2 1 1 1 1 0 0 2 1 2 2 1 3 1 3 3
%Y Column 2 of A229392.
%K nonn
%O 1,1
%A _R. H. Hardin_, Sep 21 2013