This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A062300 #26 Dec 23 2024 14:53:42
%S A062300 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,
%T A062300 11,11,11,12,12,12,13,13,13,14,14,14,14,15,15,15,16,16,16,17,17,17,18,
%U A062300 18,18,19,19,19,20,20,20,21,21,21,21,22,22,22,23,23,23,24,24,24,25,25
%N A062300 a(n) = floor(cosec(Pi/(n+1))).
%C A062300 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
%H A062300 Harry J. Smith, <a href="/A062300/b062300.txt">Table of n, a(n) for n=1..1000</a>
%H A062300 R. Israel, in reply to K. Ryde, <a href="https://web.archive.org/web/*/http://list.seqfan.eu/oldermail/seqfan/2016-October/016857.html">Re: nearly equal floor(n/Pi) A032615 and A062300</a>, SeqFan list, Oct 19 2016
%e A062300 a(99) = 31 as cosec{Pi/100} =31.8362252090976229556628738787913...
%o A062300 (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).
%o A062300 (PARI) { default(realprecision, 50); for (n=1, 1000, write("b062300.txt", n, " ", floor(1/sin(Pi/(n+1)))) ) } \\ _Harry J. Smith_, Aug 04 2009
%o A062300 (PARI) A062300(n,e=.1^precision(.1))=1\sin(Pi/(n+1+e)) \\ _M. F. Hasler_, Oct 19 2016
%Y A062300 Cf. A032615.
%K A062300 nonn,easy
%O A062300 1,5
%A A062300 _Amarnath Murthy_, Jun 19 2001
%E A062300 More terms from _Jason Earls_, Jun 22 2001