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A212723 Number of 0..2 arrays of length n+3 with sum less than 4 in any length 4 subsequence (=less than 50% duty cycle) 1

%I

%S 31,67,148,322,677,1439,3086,6625,14161,30244,64669,138374,295991,

%T 632942,1353515,2894804,6191317,13241220,28318162,60563023,129525173,

%U 277012820,592439104,1267031754,2709766972,5795308821,12394271806,26507289874

%N Number of 0..2 arrays of length n+3 with sum less than 4 in any length 4 subsequence (=less than 50% duty cycle)

%C Column 2 of A212729

%H R. H. Hardin, <a href="/A212723/b212723.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-1) +a(n-2) +a(n-3) +5*a(n-4) +a(n-5) -2*a(n-6) -3*a(n-7) -6*a(n-8) -2*a(n-9) +a(n-10) +3*a(n-11) +4*a(n-12) -a(n-15) -a(n-16)

%e Some solutions for n=3

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ May 25 2012

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Last modified June 16 21:15 EDT 2021. Contains 345080 sequences. (Running on oeis4.)