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 A384682 #18 Jun 09 2025 00:58:03
%S A384682 1,3,4,8,3,6,1,6,5,7,2,9,1,5,7,9,0,4,0,1,7,0,4,8,9,0,2,8,6,3,8,0,3,1,
%T A384682 7,6,4,7,6,6,9,2,4,3,1,6,5,0,4,8,0,2,3,8,5,1,1,2,8,7,3,8,5,2,2,5,4,3,
%U A384682 8,3,7,1,9,0,1,5,7,5,2,0,4,1,4,2,2,6,7
%N A384682 Decimal expansion of (5/6)*phi = 5*(1 + sqrt(5))/12, where phi is the golden ratio.
%F A384682 Minimal polynomial: 36*x^2 - 30*x - 25.
%F A384682 Equals Integral_{x=0..1} sqrt(x + sqrt(x + sqrt(x + ...))) dx.
%F A384682 Equals Integral_{x=0..1} (1 + sqrt(1 + 4*x))/2 dx.
%F A384682 Equals 10*A134944/3 = 5*A134946. - _Hugo Pfoertner_, Jun 07 2025
%e A384682 1.34836165729157904017...
%t A384682 RealDigits[GoldenRatio * 5/6, 10, 100, 0][[1]]
%Y A384682 Cf. A001622, A021016, A134944, A134946, A384238.
%K A384682 nonn,cons,easy
%O A384682 1,2
%A A384682 _Kritsada Moomuang_, Jun 06 2025