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 A383759 #22 May 15 2025 00:11:59 %S A383759 2,4,1,1,4,7,4,1,2,7,8,0,9,7,7,2,8,3,8,5,1,3,0,0,3,8,5,5,7,6,0,2,9,6, %T A383759 2,8,7,7,4,4,0,8,1,1,8,2,6,8,9,7,1,9,7,5,7,8,8,8,6,6,3,8,9,4,8,3,2,7, %U A383759 5,3,1,9,9,7,0,5,5,2,8,3,6,4,9,5,5,9,5,0,3,3,3,0,3,6,9,9,3,1,2,1,8,2,3,7,6 %N A383759 Decimal expansion of infinite nested radical sqrt(8-sqrt(8-sqrt(8+sqrt(8-...)))). %C A383759 Sequence of signs is cyclic +,-,-,+,-,-,+,-,-,+,.... %D A383759 Bruce C. Berndt, Ramanujan's Notebooks Part IV, Springer-Verlag, 1994, Chapter 22, p. 19, eq. (5.11). %F A383759 Equals 2*sqrt(3)*cos(Pi/18) - 1. %F A383759 Equals real root of cubic polynomial x^3 + 3*x^2 - 6*x - 17. %e A383759 2.41147412780977283851... %t A383759 RealDigits[Root[-17 - 6 x + 3 x^2 + x^3, 3], 10, 105][[1]] %Y A383759 Cf. A019889. %K A383759 nonn,cons %O A383759 1,1 %A A383759 _Artur Jasinski_, May 09 2025