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 A335765 #18 Jun 26 2020 05:19:38
%S A335765 1,5,3,3,8,8,5,6,4,1,4,7,4,3,8,0,6,6,6,8,2,6,4,0,6,0,3,0,9,7,0,6,3,2,
%T A335765 8,8,1,5,0,0,7,0,7,9,4,0,3,6,2,1,5,4,7,7,9,1,6,6,3,3,8,1,2,5,8,9,8,0,
%U A335765 9,4,8,9,6,3,8,0,4,3,8,8,6,4,4,3,9,5,4
%N A335765 Decimal expansion of Sum_{k>=1} 1/2^(k-omega(k)) where omega(k) is the number of distinct primes dividing k (A001221).
%H A335765 Maxie Dion Schmidt, <a href="https://arxiv.org/abs/2004.02976">A catalog of interesting and useful Lambert series identities</a>, arXiv:2004.02976 [math.NT], 2020.
%H A335765 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/LambertSeries.html">Lambert Series</a>.
%H A335765 Wikipedia, <a href="https://en.wikipedia.org/wiki/Lambert_series">Lambert series</a>.
%F A335765 Equals Sum_{k>=1} A034444(k)/2^k.
%F A335765 Equals Sum_{k>=1} mu(k)^2/(2^k - 1), where mu(k) is the Möbius function (A008683), or, equivalently, Sum_{k>=1} 1/A000225(A005117(k)).
%e A335765 1.533885641474380666826406030970632881500707940362154...
%t A335765 RealDigits[Sum[1/2^(n - PrimeNu[n]), {n, 1, 500}], 10, 100][[1]]
%Y A335765 Cf. A001221, A000225, A005117, A008683, A034444, A065442, A066766, A256936, A335763, A335764.
%K A335765 nonn,cons
%O A335765 1,2
%A A335765 _Amiram Eldar_, Jun 21 2020