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 A100943 #12 Mar 23 2025 18:41:09 %S A100943 2,2,2,2,8,7,0,2,2,9,7,2,1,0,4,4,6,7,0,6,9,5,3,8,7,0,2,1,5,7,6,5,5,1, %T A100943 7,7,2,3,9,8,1,1,3,8,7,9,9,3,6,7,5,3,3,8,8,6,2,4,2,9,6,3,4,3,2,0,0,8, %U A100943 8,8,2,5,5,6,8,1,6,1,8,2,0,8,5,7,8,2,1,1,6,2,6,4,3,3,5,4,8,2,9,8 %N A100943 Decimal expansion of the nested surd sqrt(e + sqrt(e + sqrt(e + ...))). %F A100943 Solution of y^2-y-e=0. %F A100943 Closed form: (1 + sqrt(4e + 1))/2. [_Alonso del Arte_, Mar 23 2012] %e A100943 2.2228702297210446706953870215765517723981138799367533... %t A100943 RealDigits[(1 + Sqrt[4E + 1])/2, 10, 100][[1]] (* _Alonso del Arte_, Mar 23 2012 *) %o A100943 (PARI) default(realprecision,100);t=0;for(n=1,5000,t=sqrt(t+exp(1)));return(t) %Y A100943 Cf. Continued fraction in A100944. %Y A100943 Cf. A001113 (e, the natural logarithm base). %K A100943 cons,nonn %O A100943 1,1 %A A100943 Mark Hudson (mrmarkhudson(AT)hotmail.com), Nov 23 2004