cp's OEIS Frontend

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.

A384238 Decimal expansion of sqrt(5) - log(phi) - 1, where phi is the golden ratio.

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%I A384238 #24 Jun 09 2025 10:38:50
%S A384238 7,5,4,8,5,6,1,5,2,4,4,0,1,8,6,2,4,8,9,1,1,4,1,4,7,5,5,3,0,6,9,0,7,8,
%T A384238 1,2,3,0,5,4,3,4,0,2,5,2,2,5,8,6,5,2,0,4,6,0,9,8,7,9,0,7,6,5,7,0,3,5,
%U A384238 7,0,5,8,0,2,9,5,8,3,1,2,5,0,0,2,4,0,4
%N A384238 Decimal expansion of sqrt(5) - log(phi) - 1, where phi is the golden ratio.
%F A384238 Equals Integral_{x=0..1} 2/(1 + sqrt(1 + 4*x)) dx.
%F A384238 Equals Integral_{x=0..1} 1/(1 + x/(1 + x/(1 + x/...))) dx.
%F A384238 Equals A002163 - A002390 - 1.
%e A384238 0.75485615244018624891...
%t A384238 RealDigits[Sqrt[5] - Log[GoldenRatio] - 1, 10, 100, -1][[1]]
%Y A384238 Cf. A002163, A002390, A384682
%K A384238 nonn,cons
%O A384238 0,1
%A A384238 _Kritsada Moomuang_, May 22 2025