The OEIS is supported by the many generous donors to the OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 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 R. H. Hardin, Table of n, a(n) for n = 1..210 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 Adjacent sequences: A213111 A213112 A213113 * A213115 A213116 A213117 KEYWORD nonn AUTHOR R. H. Hardin Jun 05 2012 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

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