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 A346205 #13 Jun 12 2024 01:11:43
%S A346205 2,2,8,8,9,8,9,4,8,1,9,6,1,7,8,6,4,1,2,3,6,6,3,6,1,2,5,3,7,2,2,0,5,5,
%T A346205 3,5,6,3,4,2,6,2,8,2,7,1,8,1,4,6,2,6,2,3,6,6,7,6,7,7,7,6,6,1,4,4,4,1,
%U A346205 3,2,0,3,0,2,2,3,1,9,6,9,7,1,3,6,7,8,3,1,5,3,2,3,7,3,9,7,7,1,5,7,3,3,6,3,1,3,4,6,6,6
%N A346205 Decimal expansion of solution to LambertW(-x) - LambertW(-1,-x) = 2.
%H A346205 G. C. Greubel, <a href="/A346205/b346205.txt">Table of n, a(n) for n = 0..10000</a>
%F A346205 Equals exp(-coth(1))/sinh(1) = exp(-A073747)/A073742.
%F A346205 Equals (coth(1)-1)*exp(1-coth(1)) = (A073747-1)*exp(1-A073747).
%F A346205 Equals (coth(1)+1)/exp(1+coth(1)) = (A073747+1)/exp(1+A073747).
%F A346205 Equals 2/(e^2-1)*exp(2/(1-e^2)) = 2/(A072334^2-1)*exp(2/(1-A072334^2)).
%e A346205 0.2288989481961786412366361253722...
%t A346205 x/.FindRoot[LambertW[-x]-LambertW[-1,-x]==2, {x, 0.1, 0.3}, WorkingPrecision -> 110]
%t A346205 RealDigits[2/(E^2-1)*Exp[2/(1-E^2)], 10, 135][[1]] (* _G. C. Greubel_, Jun 11 2024 *)
%o A346205 (PARI) exp(-cotanh(1))/sinh(1)
%o A346205 (Magma) SetDefaultRealField(RealField(135)); 2/(Exp(2)-1)*Exp(2/(1-Exp(2))); // _G. C. Greubel_, Jun 11 2024
%o A346205 (SageMath) numerical_approx(2/(e^2-1)*exp(2/(1-e^2)), digits=135) # _G. C. Greubel_, Jun 11 2024
%Y A346205 Cf. A072334, A073742, A073747.
%K A346205 nonn,cons
%O A346205 0,1
%A A346205 _Gleb Koloskov_, Jul 10 2021