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 A349850 #11 Jan 05 2025 19:51:42
%S A349850 3,9,6,8,7,4,8,0,0,6,9,0,3,9,1,4,8,5,2,1,7,1,0,6,3,6,4,0,6,1,9,9,8,5,
%T A349850 6,8,8,6,9,8,4,2,4,3,6,3,9,6,2,2,4,8,4,3,6,7,8,3,3,9,6,6,4,2,9,4,2,1,
%U A349850 5,4,5,3,6,7,0,6,1,8,1,1,9,9,3,8,0,6,6,8,2,4,2,1,7,6,1,5,7,1,0,7,5,2,1,9,8
%N A349850 Decimal expansion of Sum_{k>=1} H(k)*F(k)/2^k, where H(k) = A001008(k)/A002805(k) is the k-th harmonic number and F(k) = A000045(k) is the k-th Fibonacci number.
%H A349850 Hideyuki Ohtsuka, <a href="https://web.archive.org/web/2024*/https://www.fq.math.ca/Problems/ElemProbSolnNov2016.pdf">Problem B-1200</a>, Elementary Problems and Solutions, The Fibonacci Quarterly, Vol. 54, No. 4 (2016), p. 367; <a href="https://web.archive.org/web/2024*/https://www.fq.math.ca/Problems/ElemProbSolnNov2017.pdf">Harmonic and Fiboancci [sic]/Lucas Numbers</a>, Solution to Problem B-1200 by Kenny B. Davenport, ibid., Vol. 55, No. 4 (2017), pp. 372-373.
%F A349850 Equals log(4*phi^(12/sqrt(5))) = 2*log(2) + 12*log(phi)/sqrt(5), where phi is the golden ratio (A001622).
%e A349850 3.96874800690391485217106364061998568869842436396224...
%t A349850 RealDigits[2*Log[2] + 12*Log[GoldenRatio]/Sqrt[5], 10, 100][[1]]
%Y A349850 Cf. A000045, A001008, A001622, A002162, A002163, A002390, A002805, A349851.
%K A349850 nonn,cons
%O A349850 1,1
%A A349850 _Amiram Eldar_, Dec 02 2021