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 A342171 #46 Apr 23 2021 03:51:27 %S A342171 1,22,44,355,710,1065,1420,1775,2130,2485,2840,3195,260515,312689, %T A342171 1146408,5419351,10838702,37362253,122925461,534483448,3083975227, %U A342171 902209779836,74357078147863,214112296674652,642336890023956,18190586279576483,248319196091979065 %N A342171 Nonnegative integers k such that k < sec(k)*csc(k). %C A342171 Conjecture: 2*k/Pi is either a little more than an even integer or a little less than an odd integer. %C A342171 The conjecture is true. As k > 0 increases, satisfaction of the inequality k < sec(k)*csc(k) requires that sec(k)*csc(k) be a large positive number. Since sec(k)*csc(k) = 1/(sin(k)*cos(k)) = 2/sin(2*k), this requires that sin(2*k) be a small positive number, which occurs only when 2*k/Pi is a little more than an even integer or a little less than an odd integer. - _Jon E. Schoenfield_, Mar 06 2021 %H A342171 Jon E. Schoenfield, <a href="/A342171/a342171_1.txt">Magma program</a> %t A342171 Select[Range[10^6], # < Sec[#] Csc[#] &] (* _Michael De Vlieger_, Mar 14 2021 *) %o A342171 (Python) %o A342171 import math %o A342171 i = 1; %o A342171 while True: %o A342171 if(i < 1/(math.cos(i)*math.sin(i))): %o A342171 print(str(i) + ", ") %o A342171 i += 1 %o A342171 (PARI) isok(k) = k < 1/(sin(k)*cos(k)); \\ _Michel Marcus_, Mar 05 2021 %Y A342171 Cf. A249836, A332095, A337371. %K A342171 nonn %O A342171 1,2 %A A342171 _José Mauricio de Oliveira Neto_, Mar 04 2021 %E A342171 a(22)-a(27) from _Jon E. Schoenfield_, Mar 06 2021