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A213118 T(n,k)=Number of binary arrays of length n+2*k-1 with fewer than k ones in any length 2k subsequence (=less than 50% duty cycle) 11
1, 5, 1, 22, 7, 1, 93, 34, 10, 1, 386, 151, 54, 14, 1, 1586, 646, 252, 86, 19, 1, 6476, 2710, 1110, 424, 136, 26, 1, 26333, 11236, 4748, 1926, 714, 212, 36, 1, 106762, 46231, 19964, 8404, 3354, 1198, 324, 50, 1, 431910, 189214, 83024, 35836, 14946, 5842, 1996, 498 (list; table; graph; refs; listen; history; text; internal format)
OFFSET
1,2
COMMENTS
Table starts
.1..5..22...93...386..1586...6476...26333..106762...431910...1744436...7036530
.1..7..34..151...646..2710..11236...46231..189214...771442...3136156..12720982
.1.10..54..252..1110..4748..19964...83024..342678..1406748...5751636..23443240
.1.14..86..424..1926..8404..35836..150604..626726..2589844..10646676..43594464
.1.19.136..714..3354.14946..64664..274676.1152494..4793874..19813536..81495084
.1.26.212.1198..5842.26630.116992..502492.2126238..8903350..36998056.152862180
.1.36.324.1996.10154.47448.211888..920744.3930286.16570608..69240296.287379592
.1.50.498.3292.17578.84424.383728.1688200.7272622.30880672.129768616.541108840
LINKS
EXAMPLE
Some solutions for n=3 k=4
..0....0....1....0....1....1....1....0....0....1....1....0....0....0....1....0
..1....0....1....0....1....0....0....0....0....0....0....0....0....1....0....0
..1....0....0....1....1....1....0....0....1....1....1....0....0....0....0....0
..1....0....0....0....0....0....0....1....1....1....0....1....0....0....1....1
..0....0....0....0....0....1....1....0....0....0....1....0....0....0....0....0
..0....1....0....0....0....0....1....0....1....0....0....0....1....1....0....1
..0....1....0....1....0....0....0....1....0....0....0....1....0....1....0....0
..0....0....0....1....0....0....0....0....0....0....0....0....0....0....1....0
..0....0....0....0....1....0....1....0....0....0....0....1....1....0....1....1
..1....1....1....0....0....0....0....0....0....0....1....0....1....1....0....0
CROSSREFS
Column 2 is A003269(n+7)
Column 3 is A133523(n+5)
Row 1 is A000346(n-1)
Sequence in context: A101625 A051929 A347487 * A259682 A286897 A167572
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin Jun 05 2012
STATUS
approved

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Last modified April 14 03:49 EDT 2024. Contains 371655 sequences. (Running on oeis4.)