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 A342360 #14 Apr 04 2021 01:11:13
%S A342360 4,0,7,1,7,6,3,8,7,2,9,6,5,6,7,1,5,7,9,0,2,8,9,0,2,0,4,7,3,5,3,9,7,6,
%T A342360 7,7,3,1,0,5,1,0,6,4,4,1,3,4,5,2,8,4,6,5,1,4,4,9,3,3,3,9,6,9,2,9,8,1,
%U A342360 3,2,0,9,6,6,7,5,4,1,8,5,8,6,9,5,0,8,4,0,5,5,0,8,9,6,6,6
%N A342360 Decimal expansion of 1/(Omega+1)^2, where Omega=LambertW(1) is the Omega constant.
%F A342360 Equals cos(A342359)^4 = 1/(A030178+1)^2 = (1-sqrt(A342361))^2.
%F A342360 Equals Integral_{t=0..1} (-t/LambertW(-1,-t*Omega^omega))^Omega, where omega=1/Omega=1/LambertW(1).
%F A342360 Equals A115287^2. - _Vaclav Kotesovec_, Mar 12 2021
%e A342360 0.40717638729656715790289020473539767731...
%t A342360 Omega=LambertW[1]; xi=ArcTan[Sqrt[Omega]]; N[Cos[xi]^4,120]
%t A342360 Omega=LambertW[1]; N[1/(Omega+1)^2,120]
%t A342360 Omega=LambertW[1]; omega=1/Omega; NIntegrate[(-t/LambertW[-1,-t*Omega^omega])^Omega,{t,0,1}, WorkingPrecision->120]
%o A342360 (PARI) cos(atan(sqrt(lambertw(1))))^4
%o A342360 (PARI) my(Omega=lambertw(1)); 1/(Omega+1)^2
%Y A342360 Cf. A342359, A342361, A030178, A030797.
%K A342360 nonn,cons
%O A342360 0,1
%A A342360 _Gleb Koloskov_, Mar 09 2021