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A212473 Number of 0..3 arrays of length 2*n+1 with sum no more than 3*n in any length 2n subsequence (=50% duty cycle) 1

%I #4 May 17 2012 14:37:12

%S 30,486,7862,126606,2034200,32644314,523487828,8390738062,

%T 134446993320,2153764911576,34495886876214,552428007496418,

%U 8845775486728392,141630619844515292,2267494906950636872,36300174404152871822

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

%C Row 2 of A212471

%H R. H. Hardin, <a href="/A212473/b212473.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=3

%e ..0....2....2....2....0....1....0....1....0....0....2....2....1....3....0....0

%e ..0....0....0....0....0....1....3....1....0....1....2....0....0....0....1....1

%e ..2....3....2....1....2....0....0....0....1....1....3....0....1....0....1....3

%e ..1....3....3....0....0....3....1....0....1....3....0....1....0....0....0....0

%e ..2....0....1....3....1....2....2....1....1....0....0....1....1....1....0....3

%e ..0....0....1....1....2....2....1....3....2....0....1....0....0....2....1....0

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

%K nonn

%O 1,1

%A _R. H. Hardin_ May 17 2012

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