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A209222 Number of nX6 0..1 arrays avoiding 0 0 0 and 0 1 0 horizontally and 0 1 0 and 1 1 1 vertically.

%I A209222 #7 Jul 22 2025 21:41:02
%S A209222 25,625,576,1296,2500,5476,11664,22500,51076,106276,213444,462400,
%T A209222 980100,2016400,4194304,9036036,18835600,38588944,82846404,174715524,
%U A209222 358420624,758341444,1612986244,3336910756,6965237764,14838163344,31009096836
%N A209222 Number of nX6 0..1 arrays avoiding 0 0 0 and 0 1 0 horizontally and 0 1 0 and 1 1 1 vertically.
%C A209222 Column 6 of A209224
%H A209222 R. H. Hardin, <a href="/A209222/b209222.txt">Table of n, a(n) for n = 1..210</a>
%F A209222 Empirical: a(n) = a(n-2) +15*a(n-3) +2*a(n-4) -6*a(n-5) -107*a(n-6) +34*a(n-7) -6*a(n-8) +419*a(n-9) -280*a(n-10) +147*a(n-11) -1405*a(n-12) +721*a(n-13) -1078*a(n-14) +3560*a(n-15) -277*a(n-16) +1992*a(n-17) -5500*a(n-18) -1545*a(n-19) -2468*a(n-20) +4823*a(n-21) +4816*a(n-22) +4269*a(n-23) -2796*a(n-24) -4899*a(n-25) -4644*a(n-26) +2679*a(n-27) +2205*a(n-28) +2127*a(n-29) -2887*a(n-30) -262*a(n-31) -556*a(n-32) +1789*a(n-33) -451*a(n-34) +245*a(n-35) -528*a(n-36) +226*a(n-37) -18*a(n-38) +82*a(n-39) -33*a(n-40) -6*a(n-41) -16*a(n-42) -a(n-43) +a(n-44) +a(n-45) for n>47
%e A209222 Some solutions for n=4
%e A209222 ..1..0..1..1..0..1....1..1..0..0..1..1....1..0..1..1..1..0....0..1..1..1..0..1
%e A209222 ..1..0..0..1..1..0....0..1..1..0..0..1....1..1..0..1..1..1....1..1..1..0..1..1
%e A209222 ..0..1..1..0..1..1....1..0..1..1..0..0....0..1..1..0..0..1....1..0..0..1..1..0
%e A209222 ..1..1..1..0..0..1....1..1..0..1..1..0....0..0..1..1..1..0....0..1..1..1..0..0
%K A209222 nonn
%O A209222 1,1
%A A209222 _R. H. Hardin_ Mar 06 2012