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A207783 Number of nX6 0..1 arrays avoiding 0 0 0 and 0 1 1 horizontally and 0 0 0 and 1 0 1 vertically.

%I A207783 #7 Jul 22 2025 20:50:27
%S A207783 18,324,1326,5241,17763,65094,246087,887406,3238750,11948552,43643883,
%T A207783 159571382,585152040,2141835490,7838632143,28707385058,105103321375,
%U A207783 384772465146,1408810317447,5157976273501,18884160177390,69139905612647
%N A207783 Number of nX6 0..1 arrays avoiding 0 0 0 and 0 1 1 horizontally and 0 0 0 and 1 0 1 vertically.
%C A207783 Column 6 of A207785
%H A207783 R. H. Hardin, <a href="/A207783/b207783.txt">Table of n, a(n) for n = 1..210</a>
%F A207783 Empirical: a(n) = a(n-1) +39*a(n-3) +18*a(n-4) +18*a(n-5) -411*a(n-6) -357*a(n-7) -54*a(n-8) +1982*a(n-9) +809*a(n-10) -875*a(n-11) -4718*a(n-12) +3993*a(n-13) -21*a(n-14) +603*a(n-15) -10511*a(n-16) +29598*a(n-17) -3708*a(n-18) -16902*a(n-19) -34472*a(n-20) +77836*a(n-21) -7195*a(n-22) -30739*a(n-23) -58301*a(n-24) +105782*a(n-25) +13650*a(n-26) -53555*a(n-27) -71020*a(n-28) +60306*a(n-29) -13152*a(n-30) -19186*a(n-31) -23688*a(n-32) +60027*a(n-33) +70792*a(n-34) -34975*a(n-35) -20496*a(n-36) -24624*a(n-37) -29795*a(n-38) -1460*a(n-39) -12952*a(n-40) +17133*a(n-41) +9117*a(n-42) +3303*a(n-43) +6713*a(n-44) -10581*a(n-45) -3143*a(n-46) +6255*a(n-47) +3404*a(n-48) -2175*a(n-49) -441*a(n-50) -1165*a(n-51) -2550*a(n-52) +16*a(n-53) -30*a(n-54) -174*a(n-55) +324*a(n-56) -420*a(n-57) -1296*a(n-59) for n>71
%e A207783 Some solutions for n=4
%e A207783 ..0..0..1..0..1..0....1..0..0..1..0..0....1..1..1..0..1..0....0..1..0..0..1..0
%e A207783 ..0..0..1..0..1..0....1..1..1..1..0..1....0..1..0..1..0..0....1..0..1..0..1..0
%e A207783 ..1..1..1..1..0..1....0..0..1..0..1..0....0..1..0..1..0..1....1..0..0..1..0..1
%e A207783 ..1..1..1..1..0..1....0..0..1..0..1..0....1..1..1..1..1..0....1..1..0..1..0..0
%K A207783 nonn
%O A207783 1,1
%A A207783 _R. H. Hardin_ Feb 20 2012