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A213118
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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)
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11
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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
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OFFSET
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1,2
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COMMENTS
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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
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LINKS
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EXAMPLE
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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
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CROSSREFS
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KEYWORD
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AUTHOR
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STATUS
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approved
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