

A062300


a(n) = floor(cosec(Pi/(n+1))).


2



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

1,5


COMMENTS

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


LINKS

Harry J. Smith, Table of n, a(n) for n=1..1000
R. Israel, in reply to K. Ryde, Re: nearly equal floor(n/Pi) A032615 and A062300, SeqFan list, Oct 19 2016


EXAMPLE

a(99) = 31 as cosec{Pi/100} =31.8362252090976229556628738787913...


PROG

(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
(PARI) A062300(n, e=.1^precision(.1))=1\sin(Pi/(n+1+e)) \\ M. F. Hasler, Oct 19 2016


CROSSREFS

Cf. A032615.
Sequence in context: A025787 A057810 A029917 * A231152 A086916 A008680
Adjacent sequences: A062297 A062298 A062299 * A062301 A062302 A062303


KEYWORD

nonn,easy


AUTHOR

Amarnath Murthy, Jun 19 2001


EXTENSIONS

More terms from Jason Earls, Jun 22 2001


STATUS

approved



