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A062300
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a(n) = floor(cosec(Pi/(n+1))).
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3
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1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 3, 4, 4, 4, 5, 5, 5, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 9, 9, 9, 10, 10, 10, 11, 11, 11, 12, 12, 12, 13, 13, 13, 14, 14, 14, 14, 15, 15, 15, 16, 16, 16, 17, 17, 17, 18, 18, 18, 19, 19, 19, 20, 20, 20, 21, 21, 21, 21, 22, 22, 22, 23, 23, 23, 24, 24, 24, 25, 25
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OFFSET
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1,5
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COMMENTS
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cosec = 1/sin. - Kevin Ryde observes that this sequences is up to the offset almost identical to A032615(n) = floor(n/Pi): the values differ after n=6 for the first time again at n=80143857. Robert Israel shows that we can nonetheless expect infinitely many differences. See the posts on the SeqFan list for details. - M. F. Hasler, Oct 19 2016
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LINKS
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EXAMPLE
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a(99) = 31 as cosec{Pi/100} =31.8362252090976229556628738787913...
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PROG
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(PARI) v=vector(150, n, floor(1/sin(Pi/(n+1)))) \\ Warning: for n=5 this may yield an incorrect value of 1 instead of a(n)=2, depending on default(realprecision).
(PARI) { default(realprecision, 50); for (n=1, 1000, write("b062300.txt", n, " ", floor(1/sin(Pi/(n+1)))) ) } \\ Harry J. Smith, Aug 04 2009
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CROSSREFS
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KEYWORD
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nonn,easy
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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