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 A384806 #8 Jun 10 2025 08:46:37 %S A384806 0,6,1,3,2,5,1,6,5,3,1,1,2,1,1,2,3,1,2,3,2,2,2,2,3,2,1,1,3,1,3,2,1,1, %T A384806 3,1,17,1,5,1,2,1,2,1,1,1,1,4,7,11,1,2,1,583,1,2,1,1,2,22,7,3,23,2,6, %U A384806 1,1,1,1,1,1,1,3,1,3,1,1,1,1,5,1,1,2,3,17,6,2,70,1,6 %N A384806 Simple continued fraction expansion of arctan(1/2)/Pi. %H A384806 Shigeki Akiyama, Emily R. Korfanty, and Yan-li Xu, <a href="https://doi.org/10.1016/j.jnt.2025.04.004">Delone sets associated with badly approximable triangles</a>, Journal of Number Theory, (2025). %H A384806 <a href="/index/Con#confC">Index entries for continued fractions for constants</a>. %e A384806 arctan(1/2)/Pi = 1/(6 + 1/(1 + 1/(3 + 1/(2 + 1/(5 + ... ))))). %t A384806 ContinuedFraction[ArcTan[1/2]/Pi,90] %Y A384806 Cf. A000796, A073000, A086203 (decimal expansion). %K A384806 nonn,cofr %O A384806 0,2 %A A384806 _Stefano Spezia_, Jun 10 2025