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A208117 Number of nX7 0..1 arrays avoiding 0 0 0 and 0 1 0 horizontally and 0 0 1 and 0 1 1 vertically 1

%I #5 Mar 31 2012 12:37:21

%S 40,1600,9240,53361,175560,577600,1432600,3553225,7419360,15492096,

%T 28791840,53509225,91408240,156150016,250232400,401000625,611163000,

%U 931470400,1363358920,1995498241,2824994040,3999297600,5505737640

%N Number of nX7 0..1 arrays avoiding 0 0 0 and 0 1 0 horizontally and 0 0 1 and 0 1 1 vertically

%C Column 7 of A208118

%H R. H. Hardin, <a href="/A208117/b208117.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 2*a(n-1) +6*a(n-2) -14*a(n-3) -14*a(n-4) +42*a(n-5) +14*a(n-6) -70*a(n-7) +70*a(n-9) -14*a(n-10) -42*a(n-11) +14*a(n-12) +14*a(n-13) -6*a(n-14) -2*a(n-15) +a(n-16)

%e Some solutions for n=4

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Feb 23 2012

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Last modified April 24 13:13 EDT 2024. Contains 371947 sequences. (Running on oeis4.)