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A207022 Number of nX6 0..1 arrays avoiding 0 0 0 and 0 1 1 horizontally and 0 0 1 and 1 0 1 vertically.

%I A207022 #10 Jul 22 2025 19:57:16
%S A207022 18,324,1350,3726,8280,16038,28224,46260,71766,106560,152658,212274,
%T A207022 287820,381906,497340,637128,804474,1002780,1235646,1506870,1820448,
%U A207022 2180574,2591640,3058236,3585150,4177368,4840074,5578650,6398676,7305930
%N A207022 Number of nX6 0..1 arrays avoiding 0 0 0 and 0 1 1 horizontally and 0 0 1 and 1 0 1 vertically.
%C A207022 Column 6 of A207024
%H A207022 R. H. Hardin, <a href="/A207022/b207022.txt">Table of n, a(n) for n = 1..210</a>
%F A207022 Empirical: a(n) = (33/4)*n^4 + (45/2)*n^3 + (75/4)*n^2 - (63/2)*n.
%F A207022 Empirical G.f.: 18*x*(1+13*x-5*x^2+2*x^3)/(1-x)^5. [_Colin Barker_, May 22 2012]
%e A207022 Some solutions for n=4
%e A207022 ..1..1..1..1..1..1....1..0..1..0..0..1....0..1..0..1..0..0....0..1..0..1..0..0
%e A207022 ..0..0..1..0..1..0....0..1..0..0..1..0....0..1..0..0..1..0....0..1..0..1..0..0
%e A207022 ..0..0..1..0..1..0....0..1..0..0..1..0....0..1..0..0..1..0....0..1..0..1..0..0
%e A207022 ..0..0..1..0..1..0....0..1..0..0..1..0....0..1..0..0..1..0....0..1..0..1..0..0
%K A207022 nonn
%O A207022 1,1
%A A207022 _R. H. Hardin_ Feb 14 2012