cp's OEIS Frontend

A229386 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.

%I A229386 #9 Sep 14 2018 16:12:13
%S A229386 14,128,1064,8592,68672,546752,4346752,34537984,274370048,2179421184,
%T A229386 17311399936,137504870400,1092199604224,8675313975296,68907755405312,
%U A229386 547332071161856,4347440512892928,34531574742253568,274283140633591808
%N A229386 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 A229386 R. H. Hardin, <a href="/A229386/b229386.txt">Table of n, a(n) for n = 1..210</a>
%F A229386 Empirical: a(n) = 12*a(n-1) - 36*a(n-2) + 32*a(n-3) - 16*a(n-4).
%F A229386 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 A229386 Some solutions for n=3:
%e A229386   0 0   1 2   3 2   0 1   1 1   2 2   2 0   2 1   2 3   1 1
%e A229386   1 0   3 1   1 1   1 0   1 2   1 2   1 0   0 1   2 3   3 3
%e A229386   2 1   2 1   2 1   1 1   1 0   0 2   1 2   2 1   3 1   3 3
%Y A229386 Column 2 of A229392.
%K A229386 nonn
%O A229386 1,1
%A A229386 _R. H. Hardin_, Sep 21 2013