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A207926 Number of nX6 0..1 arrays avoiding 0 0 0 and 0 1 0 horizontally and 0 0 0 and 1 1 1 vertically.

%I A207926 #7 Jul 22 2025 21:00:38
%S A207926 25,625,900,6084,30976,138384,732736,3663396,17690436,90288004,
%T A207926 448253584,2207496256,11142069136,55246622116,274071096324,
%U A207926 1375342562500,6824320275600,33960175831296,169836568722496,843680456407684
%N A207926 Number of nX6 0..1 arrays avoiding 0 0 0 and 0 1 0 horizontally and 0 0 0 and 1 1 1 vertically.
%C A207926 Column 6 of A207928
%H A207926 R. H. Hardin, <a href="/A207926/b207926.txt">Table of n, a(n) for n = 1..210</a>
%F A207926 Empirical: a(n) = a(n-1) +2*a(n-2) +152*a(n-3) -69*a(n-4) +71*a(n-5) -7546*a(n-6) +722*a(n-7) -5058*a(n-8) +150792*a(n-9) +8524*a(n-10) +55962*a(n-11) -1450520*a(n-12) -222090*a(n-13) -207154*a(n-14) +7370978*a(n-15) +1456071*a(n-16) +592939*a(n-17) -21038506*a(n-18) -4409754*a(n-19) -1950603*a(n-20) +34994571*a(n-21) +6780102*a(n-22) +3913498*a(n-23) -34648855*a(n-24) -5264075*a(n-25) -3740202*a(n-26) +20686582*a(n-27) +2023371*a(n-28) +1740765*a(n-29) -7313862*a(n-30) -294498*a(n-31) -352786*a(n-32) +1465632*a(n-33) -12928*a(n-34) +21778*a(n-35) -152676*a(n-36) +6042*a(n-37) +460*a(n-38) +7412*a(n-39) -219*a(n-40) -73*a(n-41) -154*a(n-42) +a(n-44) +a(n-45) for n>47
%e A207926 Some solutions for n=5
%e A207926 ..0..0..1..1..1..0....1..1..0..1..1..1....0..1..1..1..1..1....0..1..1..1..1..0
%e A207926 ..1..1..0..0..1..1....0..0..1..1..1..0....0..1..1..0..0..1....1..1..1..0..0..1
%e A207926 ..0..0..1..1..0..0....0..1..1..0..0..1....1..0..0..1..1..0....1..0..0..1..1..0
%e A207926 ..1..1..0..0..1..1....1..1..0..1..1..0....1..0..0..1..1..1....0..1..1..0..1..1
%e A207926 ..1..0..0..1..1..1....0..0..1..1..0..1....0..1..1..0..0..1....0..1..1..0..0..1
%K A207926 nonn
%O A207926 1,1
%A A207926 _R. H. Hardin_ Feb 21 2012