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 A344390 #17 Dec 10 2023 23:37:38 %S A344390 0,1,3,3,1,1,563,4,24,1,1,1,1,8,1,1,2,1,1,1,3,2,3,2,1,1,2,190,1,1,2,1, %T A344390 1,2,1,6,11,3,1,1,1,1,2,1,2,2,1,4,1,1,65,1,1,1,11,25,1,2,2,2,3,29,2, %U A344390 16,2,3,17,5,3,4,1,3,3,20,3,1,1,2,1,2,2,2,1,3,105,8,17,1,5,1 %N A344390 Continued fraction for A073084, the constant LambertW(log(sqrt(2)))/log(sqrt(2)). %C A344390 a(6) = 563 shows that x = -23/30 is a good approximation to the negative solution to 2^x = x^2. %e A344390 0.76666469596212309311... = 0 + 1/(1 + 1/(3 + 1/(3 + 1/(1 + 1/(1 + 1/(563 + ...)))))) %t A344390 ContinuedFraction[ProductLog[Log[Sqrt[2]]]/Log[Sqrt[2]], 100] %o A344390 (PARI) default(realprecision, 100); contfrac(lambertw(log(sqrt(2)))/log(sqrt(2))) %Y A344390 Cf. A073084. %K A344390 nonn,cofr %O A344390 0,3 %A A344390 _Jianing Song_, May 17 2021