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 A342359 #11 Apr 04 2021 01:10:54 %S A342359 6,4,5,4,7,5,2,4,4,5,6,5,0,0,3,9,2,4,4,3,5,7,3,1,5,5,4,5,6,6,0,6,6,3, %T A342359 6,5,2,2,4,6,7,7,2,0,5,5,9,4,0,2,1,5,1,6,1,8,1,6,8,0,0,6,7,5,3,1,7,5, %U A342359 0,9,5,5,3,7,3,1,2,5,6,8,8,3,6,5,1,3,9,2,5,3,9,2,7,1,9,0 %N A342359 Decimal expansion of arctan(sqrt(Omega)), where Omega=LambertW(1) is the Omega constant. %C A342359 The sine and the cosine of this angle appears in the values of two definite integrals that involve non-principal real branch of the Lambert W function, see A342360 and A342361. %F A342359 Equals arctan(sqrt(LambertW(1))). %e A342359 0.6454752445650039244357315545660663652246772055940215161816... %t A342359 Omega=LambertW[1]; xi=ArcTan[Sqrt[Omega]]; N[xi,120] %o A342359 (PARI) atan(sqrt(lambertw(1))) %Y A342359 Cf. A342360, A342361, A030178. %K A342359 nonn,cons %O A342359 0,1 %A A342359 _Gleb Koloskov_, Mar 09 2021