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 A383659 #18 Jun 17 2025 22:24:35
%S A383659 2,5,8,0,4,5,7,6,3,8,8,6,9,1,0,1,7,4,3,2,0,0,1,0,4,6,6,1,2,1,4,3,7,4,
%T A383659 9,6,3,9,9,0,6,7,7,8,4,8,5,7,7,0,8,3,9,0,1,4,5,7,4,8,4,9,6,0,3,8,5,5,
%U A383659 8,8,1,9,8,0,3,5,3,4,5,9,9,8,5,3,1,2,2
%N A383659 Decimal expansion of phi + 2*log(phi), where phi is the golden ratio.
%F A383659 Equals Integral_{x=0..1} sqrt(1/x + sqrt(1/x + sqrt(1/x + ...))) dx.
%F A383659 Equals Integral_{x=0..1} (1 + sqrt(1 + 4/x))/2 dx.
%F A383659 Equals A001622 + A202543.
%e A383659 2.58045763886910174320...
%t A383659 RealDigits[GoldenRatio + 2 * Log[GoldenRatio], 10, 100, 0][[1]]
%Y A383659 Cf. A001622, A002390, A202543, A384238, A384682.
%K A383659 nonn,cons
%O A383659 1,1
%A A383659 _Kritsada Moomuang_, Jun 11 2025