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A207953 Number of 7Xn 0..1 arrays avoiding 0 0 1 and 0 1 1 horizontally and 0 1 0 and 1 0 1 vertically 1

%I

%S 42,1764,14406,117649,524104,2334784,7513176,24176889,63380130,

%T 166152100,377999250,859955625,1762784400,3613452544,6837439440,

%U 12937925025,22975807530,40801576036,68811074046,116048554281,187501438872

%N Number of 7Xn 0..1 arrays avoiding 0 0 1 and 0 1 1 horizontally and 0 1 0 and 1 0 1 vertically

%C Row 7 of A207949

%H R. H. Hardin, <a href="/A207953/b207953.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 2*a(n-1) +12*a(n-2) -26*a(n-3) -65*a(n-4) +156*a(n-5) +208*a(n-6) -572*a(n-7) -429*a(n-8) +1430*a(n-9) +572*a(n-10) -2574*a(n-11) -429*a(n-12) +3432*a(n-13) -3432*a(n-15) +429*a(n-16) +2574*a(n-17) -572*a(n-18) -1430*a(n-19) +429*a(n-20) +572*a(n-21) -208*a(n-22) -156*a(n-23) +65*a(n-24) +26*a(n-25) -12*a(n-26) -2*a(n-27) +a(n-28)

%e Some solutions for n=4

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

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Feb 21 2012

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Last modified January 23 03:15 EST 2022. Contains 350504 sequences. (Running on oeis4.)