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Number of 0..2 arrays of length 3+2*n with sum no more than 2*n in any length 2n subsequence (=50% duty cycle)
1

%I #4 May 06 2012 19:38:47

%S 70,775,7596,71427,660796,6062948,55360211,503916387,4577086146,

%T 41509589394,376014757137,3403088304192,30777595344747,

%U 278194559997967,2513387971773920,22698724065174107,204927838029912468

%N Number of 0..2 arrays of length 3+2*n with sum no more than 2*n in any length 2n subsequence (=50% duty cycle)

%C Row 4 of A212232

%H R. H. Hardin, <a href="/A212236/b212236.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=3

%e ..1....0....1....0....1....0....0....0....1....1....2....2....0....2....0....0

%e ..0....2....2....2....2....2....0....1....0....2....1....1....2....0....0....0

%e ..0....1....0....0....1....0....1....2....0....0....1....0....0....0....2....2

%e ..2....0....0....2....0....1....1....1....2....2....1....1....0....0....0....2

%e ..0....2....1....0....0....0....0....0....1....0....0....2....0....1....0....1

%e ..1....0....1....0....1....1....0....1....0....0....1....0....0....2....0....0

%e ..1....1....0....2....0....0....1....0....1....0....0....0....2....1....2....0

%e ..1....1....2....1....0....2....1....1....0....2....1....0....2....1....0....1

%e ..0....1....1....0....1....0....2....1....1....0....2....1....2....0....2....1

%K nonn

%O 1,1

%A _R. H. Hardin_ May 06 2012