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A213114 Number of binary arrays of length n+7 with fewer than 4 ones in any length 8 subsequence (=less than 50% duty cycle) 1
93, 151, 252, 424, 714, 1198, 1996, 3292, 5359, 8758, 14401, 23772, 39313, 65046, 107572, 177700, 293113, 483115, 796360, 1313385, 2167141, 3576909, 5904270, 9745234, 16082476, 26536889, 43783532, 72238736, 119193082, 196678607 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Column 4 of A213118
LINKS
FORMULA
Empirical: a(n) = a(n-1) +a(n-3) +a(n-6) +a(n-7) +7*a(n-8) +a(n-9) -6*a(n-11) -3*a(n-12) -a(n-13) -5*a(n-14) -a(n-15) -21*a(n-16) -13*a(n-17) -5*a(n-18) +14*a(n-19) +9*a(n-20) -a(n-21) +10*a(n-22) +35*a(n-24) +22*a(n-25) +5*a(n-26) -20*a(n-27) -9*a(n-28) -a(n-29) -10*a(n-30) -a(n-31) -35*a(n-32) -13*a(n-33) +15*a(n-35) +3*a(n-36) +5*a(n-38) +a(n-39) +21*a(n-40) +a(n-41) -6*a(n-43) -a(n-46) -7*a(n-48) +a(n-49) +a(n-51) +a(n-56)
EXAMPLE
Some solutions for n=3
..1....0....1....0....1....1....1....1....0....1....1....1....0....0....0....0
..0....0....0....1....1....0....1....1....1....0....1....0....0....1....0....0
..0....1....0....0....0....1....1....0....0....0....0....0....1....1....0....1
..1....0....0....0....1....0....0....1....0....0....0....0....0....0....0....0
..0....0....0....0....0....0....0....0....1....1....0....0....0....1....0....1
..0....1....1....0....0....0....0....0....1....0....0....0....0....0....0....1
..0....0....0....0....0....1....0....0....0....0....1....0....1....0....1....0
..0....0....1....0....0....0....0....0....0....1....0....0....0....0....1....0
..1....0....0....0....1....0....0....1....0....0....0....1....0....0....0....0
..1....1....1....0....0....1....1....1....1....0....1....0....1....0....0....0
CROSSREFS
Sequence in context: A153684 A048257 A255991 * A250366 A306540 A044425
KEYWORD
nonn
AUTHOR
R. H. Hardin Jun 05 2012
STATUS
approved

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Last modified February 27 19:24 EST 2024. Contains 370378 sequences. (Running on oeis4.)