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 A223141 #10 Jan 15 2018 13:48:53 %S A223141 2,1,9,2,5,8,2,4,0,3,5,6,7,2,5,2,0,1,5,6,2,5,3,5,5,2,4,5,7,7,0,1,6,4, %T A223141 7,7,8,1,4,7,5,6,0,0,8,0,8,2,2,3,9,4,4,1,8,8,4,0,1,9,4,3,3,5,0,0,8,3, %U A223141 2,2,9,8,1,4,1,3,8,2,9,3,4,6,4,3,8,3,1,6,8,9,0,8,3,9,9,1,7,7,4,2,2,0 %N A223141 Decimal expansion of (sqrt(29) - 1)/2. %C A223141 Decimal expansion of sqrt(7 - sqrt(7 - sqrt(7 - sqrt(7 - ... )))). %C A223141 Sequence with a(1) = 3 is decimal expansion of sqrt(7 + sqrt(7 + sqrt(7 + sqrt(7 + ... )))) - A223140. %F A223141 Closed form: (sqrt(29) - 1)/2 = A098318-3 = 10*A085551+2 = A223140-1. %F A223141 sqrt(7 - sqrt(7 - sqrt(7 - sqrt(7 - ... )))) + 1 = sqrt(7 + sqrt(7 + sqrt(7 + sqrt(7 + ... )))). See A223140. %e A223141 2.1925824035672520156253552457701... %t A223141 RealDigits[(Sqrt[29] - 1)/2, 10, 130][[1]] %Y A223141 Cf. A098318, A085551, A223140. %K A223141 nonn,cons %O A223141 1,1 %A A223141 _Jaroslav Krizek_, Apr 02 2013