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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
31, 67, 148, 322, 677, 1439, 3086, 6625, 14161, 30244, 64669, 138374, 295991, 632942, 1353515, 2894804, 6191317, 13241220, 28318162, 60563023, 129525173, 277012820, 592439104, 1267031754, 2709766972, 5795308821, 12394271806, 26507289874 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 2 of A212729

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..210

FORMULA

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)

EXAMPLE

Some solutions for n=3

..1....0....1....1....0....1....0....0....2....1....2....2....0....1....2....1

..0....0....1....0....1....1....1....1....0....0....1....1....1....0....0....0

..1....0....0....0....1....1....0....0....1....0....0....0....0....0....0....1

..1....1....0....0....0....0....0....2....0....1....0....0....0....0....1....0

..1....0....1....2....0....1....0....0....0....0....1....0....0....1....0....0

..0....2....2....0....0....1....0....0....1....0....1....2....1....2....2....1

CROSSREFS

Sequence in context: A044514 A142110 A110831 * A193573 A086042 A086051

Adjacent sequences:  A212720 A212721 A212722 * A212724 A212725 A212726

KEYWORD

nonn

AUTHOR

R. H. Hardin May 25 2012

STATUS

approved

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Last modified May 15 08:59 EDT 2021. Contains 343909 sequences. (Running on oeis4.)