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A202597 Number of (n+2)X6 binary arrays avoiding patterns 001 and 000 in rows and columns 1

%I #5 Mar 31 2012 12:36:49

%S 7722,107510,1402544,18741086,248094210,3296516444,43736102410,

%T 580619927134,7706084873760,102287204459830,1357655967509530,

%U 18020473458647140,239187926562998322,3174780935803761466

%N Number of (n+2)X6 binary arrays avoiding patterns 001 and 000 in rows and columns

%C Column 4 of A202601

%H R. H. Hardin, <a href="/A202597/b202597.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 4*a(n-1) +124*a(n-2) +144*a(n-3) -2031*a(n-4) -1515*a(n-5) +12912*a(n-6) +76*a(n-7) -28781*a(n-8) +9107*a(n-9) +23165*a(n-10) -8484*a(n-11) -7936*a(n-12) +2195*a(n-13) +1273*a(n-14) -176*a(n-15) -76*a(n-16) +4*a(n-17) +a(n-18)

%e Some solutions for n=1

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Dec 21 2011

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Last modified April 25 16:45 EDT 2024. Contains 371989 sequences. (Running on oeis4.)