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 A343784 #19 Jan 14 2024 12:55:57
%S A343784 5,8,1,1,6,2,3,1,8,8,1,1,9,6,4,8,9,2,9,7,9,8,9,8,6,6,7,9,1,8,1,1,2,0,
%T A343784 4,5,8,5,0,0,2,4,1,8,9,6,1,4,4,0,7,9,7,4,5,9,6,7,2,1,4,6,9,4,8,5,3,9,
%U A343784 2,6,6,2,3,8,4,5,0,9,7,6,2,3,9,8,6,0,1
%N A343784 Decimal expansion of Sum_{k>=1} A065043(k)/2^k.
%C A343784 Named "the Liouville number" and conjectured to be a transcendental number by Borwein and Coons (2008).
%C A343784 The binary expansion of this constant is A065043 (with an offset 0).
%H A343784 Peter Borwein and Michael Coons, <a href="https://arxiv.org/abs/0806.1694">Transcendence of the Gaussian Liouville number and relatives</a>, arXiv:0806.1694 [math.NT], 2008.
%H A343784 Michael J. Coons, <a href="https://summit.sfu.ca/item/9417">Some aspects of analytic number theory: parity, transcendence, and multiplicative functions</a>, Ph.D. Thesis, Department of Mathematics, Simon Fraser University, 2009.
%F A343784 Equals Sum_{k>=1} (1+lambda(k))/2^(k+1), where lambda(k) = A008836(k) is Liouville's function.
%F A343784 Equals Sum_{k>=1} 1/2^A028260(k).
%e A343784 0.58116231881196489297989866791811204585002418961440...
%t A343784 RealDigits[Sum[(LiouvilleLambda[n] + 1)/2^(n + 1), {n, 1, 400}], 10, 100][[1]]
%Y A343784 Cf. A008836, A028260, A065043.
%K A343784 nonn,cons,easy
%O A343784 0,1
%A A343784 _Amiram Eldar_, Apr 29 2021