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A207767 Number of 7Xn 0..1 arrays avoiding 0 0 0 and 1 0 1 horizontally and 0 1 1 and 1 0 1 vertically 1

%I

%S 31,961,2305,17563,67330,178627,887114,3733566,11979209,49800326,

%T 208738438,742476229,2900533473,11843654162,44397947317,170655647841,

%U 681016789541,2614418854083,10044216333681,39503065976101

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

%C Row 7 of A207762

%H R. H. Hardin, <a href="/A207767/b207767.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 3*a(n-1) -3*a(n-2) +75*a(n-3) -165*a(n-4) +117*a(n-5) -1993*a(n-6) +3819*a(n-7) -1872*a(n-8) +28120*a(n-9) -52719*a(n-10) +21633*a(n-11) -245836*a(n-12) +475386*a(n-13) -202047*a(n-14) +1424731*a(n-15) -2854572*a(n-16) +1336596*a(n-17) -5595456*a(n-18) +11419032*a(n-19) -5756664*a(n-20) +14788744*a(n-21) -30146304*a(n-22) +15765936*a(n-23) -25534368*a(n-24) +51292992*a(n-25) -27030768*a(n-26) +27214704*a(n-27) -53527680*a(n-28) +27914688*a(n-29) -16039296*a(n-30) +30855168*a(n-31) -15780096*a(n-32) +3960576*a(n-33) -7464960*a(n-34) +3732480*a(n-35) for n>37

%e Some solutions for n=4

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

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Feb 19 2012

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Last modified October 15 17:35 EDT 2021. Contains 348033 sequences. (Running on oeis4.)