cp's OEIS Frontend

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.

A337249 Numbers k for which csc(k) > k.

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%I A337249 #43 Apr 11 2023 10:18:52
%S A337249 1,3,44,710,1420,2130,2840,312689,10838702,6167950454,21053343141,
%T A337249 63160029423,105266715705
%N A337249 Numbers k for which csc(k) > k.
%C A337249 a(14) > 1.129*10^12, if it exists. - _Kevin P. Thompson_, Nov 07 2021
%C A337249 a(14) exists. The numbers 428224593349304, 6134899525417045, 66627445592888887, 430010946591069243, and 2646693125139304345 all satisfy csc(k) > k and are larger than a(13). It is not yet proven whether these are a(14) - a(18) or if there are any other numbers in the sequence before or between them. - _Wolfe Padawer_, Apr 11 2023
%e A337249 csc(1) = 1.1884... so 1 is a term.
%t A337249 Select[Range[10^6], Csc[#] > # &] (* _Amiram Eldar_, Aug 21 2020 *)
%o A337249 (Python)
%o A337249 import math
%o A337249 i = 1
%o A337249 while True:
%o A337249   if 1 / math.sin(i) > i:
%o A337249     print(i)
%o A337249   i += 1
%o A337249 (PARI) isok(m) = 1/sin(m) > m; \\ _Michel Marcus_, Aug 27 2020
%Y A337249 Subsequence of A080142, A046955.
%Y A337249 Subsequence of A265735 and A325158 if you omit the first term of A337249.
%Y A337249 Cf. A092328, A337248.
%K A337249 nonn,more
%O A337249 1,2
%A A337249 _Joseph C. Y. Wong_, Aug 21 2020
%E A337249 a(11)-a(13) from _Kevin P. Thompson_, Nov 07 2021