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Number of (n+2)X4 binary arrays avoiding patterns 000 and 101 in rows and columns
1

%I #5 Mar 31 2012 12:36:55

%S 253,787,2237,6615,19723,57699,169561,500813,1473813,4336509,12776787,

%T 37624405,110768047,326202095,960592477,2828495527,8329036847,

%U 24526561909,72221962493,212669436487,626242809531,1844074518231

%N Number of (n+2)X4 binary arrays avoiding patterns 000 and 101 in rows and columns

%C Column 2 of A203091

%H R. H. Hardin, <a href="/A203085/b203085.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-1) +2*a(n-2) +10*a(n-3) +6*a(n-4) -5*a(n-5) -10*a(n-6) -8*a(n-7) +2*a(n-8) +10*a(n-9) -24*a(n-10) -20*a(n-11) +23*a(n-12) +22*a(n-13) -10*a(n-14)

%e Some solutions for n=3

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Dec 29 2011