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A207120 Number of nX5 0..1 arrays avoiding 0 0 1 and 0 1 0 horizontally and 0 0 1 and 0 1 1 vertically 1

%I #5 Mar 31 2012 12:37:15

%S 14,196,896,4096,12288,36864,87744,208849,428666,879844,1628368,

%T 3013696,5166336,8856576,14311584,23126481,35653926,54967396,81554000,

%U 121000000,173888000,249892864,349562304,488984769,668387538,913611076,1224032096

%N Number of nX5 0..1 arrays avoiding 0 0 1 and 0 1 0 horizontally and 0 0 1 and 0 1 1 vertically

%C Column 5 of A207123

%H R. H. Hardin, <a href="/A207120/b207120.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 2*a(n-1) +8*a(n-2) -18*a(n-3) -27*a(n-4) +72*a(n-5) +48*a(n-6) -168*a(n-7) -42*a(n-8) +252*a(n-9) -252*a(n-11) +42*a(n-12) +168*a(n-13) -48*a(n-14) -72*a(n-15) +27*a(n-16) +18*a(n-17) -8*a(n-18) -2*a(n-19) +a(n-20)

%e Some solutions for n=4

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Feb 15 2012

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Last modified April 23 15:20 EDT 2024. Contains 371916 sequences. (Running on oeis4.)