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.

A333182 Decimal expansion of Sum_{k>=1} mu(k)^2 / 2^k.

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%I A333182 #7 Jun 22 2020 01:52:30
%S A333182 9,3,1,3,7,6,3,5,6,3,8,3,1,3,3,5,8,1,8,4,9,9,0,4,8,7,1,2,6,1,3,8,9,2,
%T A333182 9,4,8,5,7,2,4,5,5,6,1,1,1,4,4,5,1,6,8,2,9,8,1,2,4,6,7,7,0,4,5,9,9,5,
%U A333182 7,0,3,0,9,5,8,9,4,2,8,4,9,0,7,4,2,5,1,4,9,6,3,2,0,7,6,7,8,9,0,4
%N A333182 Decimal expansion of Sum_{k>=1} mu(k)^2 / 2^k.
%C A333182 Squarefree constant: binary expansion is the characteristic function of squarefree numbers (A008966).
%F A333182 Equals Sum_{k>=1} mu(k)/(2^(k^2) - 1). - _Amiram Eldar_, Jun 22 2020
%e A333182 0.93137635638313358... = (0.1110111001...)_2.
%e A333182                             ||| |||  |
%e A333182                             123 567 10
%t A333182 RealDigits[Sum[MoebiusMu[n]^2/2^n, {n, 1, 500}], 10, 100][[1]] (* _Amiram Eldar_, Jun 22 2020 *)
%Y A333182 Cf. A005117, A008683, A008966, A051006, A332905.
%K A333182 nonn,cons
%O A333182 0,1
%A A333182 _Ilya Gutkovskiy_, Mar 10 2020