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A207788 Number of 6Xn 0..1 arrays avoiding 0 0 0 and 0 1 1 horizontally and 0 0 0 and 1 0 1 vertically 1

%I

%S 19,361,1575,6418,22322,65094,185613,486006,1224264,2997835,7098270,

%T 16550130,37910398,85814196,192716626,429872932,955654852,2120317621,

%U 4702504577,10440375393,23222416590,51793064829,115881126227

%N Number of 6Xn 0..1 arrays avoiding 0 0 0 and 0 1 1 horizontally and 0 0 0 and 1 0 1 vertically

%C Row 6 of A207785

%H R. H. Hardin, <a href="/A207788/b207788.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 6*a(n-1) -2*a(n-2) -45*a(n-3) +31*a(n-4) +230*a(n-5) -159*a(n-6) -834*a(n-7) +487*a(n-8) +2216*a(n-9) -1008*a(n-10) -4456*a(n-11) +1746*a(n-12) +6657*a(n-13) -2910*a(n-14) -7371*a(n-15) +5145*a(n-16) +5601*a(n-17) -8497*a(n-18) -1717*a(n-19) +11518*a(n-20) -2645*a(n-21) -12637*a(n-22) +6573*a(n-23) +10402*a(n-24) -8672*a(n-25) -6375*a(n-26) +9440*a(n-27) +1727*a(n-28) -8399*a(n-29) +1708*a(n-30) +6137*a(n-31) -3371*a(n-32) -3728*a(n-33) +4085*a(n-34) +956*a(n-35) -3071*a(n-36) +318*a(n-37) +2176*a(n-38) -1208*a(n-39) -824*a(n-40) +1065*a(n-41) +20*a(n-42) -589*a(n-43) +173*a(n-44) +339*a(n-45) -323*a(n-46) +47*a(n-47) +60*a(n-48) +11*a(n-49) -75*a(n-50) +61*a(n-51) -18*a(n-52) -3*a(n-54) +6*a(n-55) -4*a(n-56) +a(n-57) for n>59

%e Some solutions for n=4

%e ..1..0..1..0....0..0..1..0....0..0..1..0....1..0..0..1....0..1..0..0

%e ..1..1..0..0....0..1..0..1....1..1..0..0....0..1..0..1....0..1..0..1

%e ..1..1..0..1....1..1..0..0....0..1..0..1....0..0..1..0....1..0..1..0

%e ..1..0..1..0....1..1..1..0....0..0..1..0....1..0..1..0....1..0..1..0

%e ..0..0..1..0....1..0..0..1....1..0..1..0....1..1..1..1....0..1..0..1

%e ..0..1..0..1....1..0..0..1....0..1..0..1....0..1..0..1....0..1..0..0

%K nonn

%O 1,1

%A _R. H. Hardin_ Feb 20 2012

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Last modified June 28 19:10 EDT 2022. Contains 354907 sequences. (Running on oeis4.)