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 A337371 #36 Mar 16 2021 04:30:36
%S A337371 1,3,22,44,355,710,1065,1420,1775,2130,2485,2840,3195,312689,1146408,
%T A337371 5419351,10838702,6167950454,21053343141,42106686282,63160029423,
%U A337371 84213372564,105266715705,8958937768937,17917875537874,428224593349304,856449186698608,6134899525417045
%N A337371 Integers k with abs(sin(k)) < 1/k.
%C A337371 The values > 1 appear to be a subset of the numerators of continued fractions of Pi (A002485) (and/or Pi/2: A096456) and their multiples. Is it possible to find a term k here but not in |A332095| (k |tan k| < 1)? - _M. F. Hasler_, Oct 09 2020
%t A337371 Select[Range[3200], Abs[Sin[#]] < 1/# &] (* _Amiram Eldar_, Aug 25 2020 *)
%o A337371 (Python)
%o A337371 import numpy as np
%o A337371 for x in range(1, 10**9):
%o A337371 if np.abs(np.sin(x)) < 1/x:
%o A337371 print(x, end=", ")
%o A337371 (PARI) print1(1);apply( n-> forstep(n=n,oo,n,abs(sin(n))<1/n||return; print1(","n)), contfracpnqn(c=contfrac(Pi),#c)[1,]); \\ _M. F. Hasler_, Oct 09 2020
%Y A337371 Cf. A092328, A332095, A046965, A088306, A337249, A332095.
%K A337371 nonn
%O A337371 1,2
%A A337371 _Anian Brosig_, Aug 25 2020
%E A337371 More terms from _M. F. Hasler_, Oct 09 2020