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 A271529 #7 Feb 16 2025 08:33:33 %S A271529 3,4,9,5,8,5,4,7,1,1,9,0,8,4,9,7,6,3,6,8,8,5,0,4,0,8,4,8,0,1,3,3,9,4, %T A271529 5,2,8,6,0,9,5,1,6,2,5,8,9,5,7,7,5,9,5,3,8,1,4,1,9,2,8,9,8,1,5,0,0,9, %U A271529 4,1,5,4,7,7,2,2,9,0,8,1,3,3,1,7,9,2,1,2,3,4,7,8,3,3,8,9,8,4,1,7,4,3,4,4,3,0,0,7,6,1,2,2,6,1,7,5,9,2,5,7 %N A271529 Decimal expansion of sqrt(e + e*sqrt(e + e*sqrt(e + ...))). %H A271529 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/e.html">e</a> %H A271529 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/NestedRadical.html">Nested Radical</a> %F A271529 Equals sqrt(e)*(sqrt(e) + sqrt(e + 4))/2. %F A271529 Equals e + 1/(1 + 1/(e + 1/(1 + 1/(e + 1/(1 + 1/(e + 1/(1 + 1/(e + 1/(1 + 1/...))))))))). %e A271529 3.495854711908497636885040848013394528609516258957759538... %t A271529 RealDigits[Sqrt[E] ((Sqrt[E] + Sqrt[E + 4])/2), 10, 120][[1]] %o A271529 (PARI) exp(1)/2+sqrt(4*exp(1)+exp(2))/2 \\ _Charles R Greathouse IV_, Apr 20 2016 %o A271529 (PARI) t=exp(.5); t*(t+sqrt(exp(1)+4))/2 \\ _Charles R Greathouse IV_, Apr 20 2016 %Y A271529 Cf. A001113, A019774, A100943, A189970, A268580. %K A271529 nonn,cons %O A271529 1,1 %A A271529 _Ilya Gutkovskiy_, Apr 09 2016