A238270 - OEIS

%I #18 Jul 07 2023 13:20:19

%S 1,0,2,0,1,1,3,3,4,8,1,7,8,1,0,3,6,4,7,4,3,0,3,6,3,9,3,9,3,1,8,2,4,3,

%T 5,1,5,4,3,6,1,0,4,9,2,5,1,0,2,9,1,0,7,3,5,8,7,3,8,8,0,3,2,5,9,0,9,3,

%U 7,2,7,6,0,5,1,9,5,2,3,3,8,4,2,8,4,8,3,6,8,4,7,8,5,5,2,0,3,8,8,9,6,6,7,3,7,2

%N Decimal expansion of Sum_{n>=1} mu(n)/2^n.

%C Suggested by a posting to SeqFan list by _Alonso del Arte_ at 15:35 on Aug 09 2012.

%e 0.102011334817810364743036393931824351543610492510291073587388032...

%t RealDigits[ Sum[ N[ MoebiusMu[n] 2^-n, 128], {n, 380}], 10, 111][[1]]

%o (PARI) sum(n=1,(default(realprecision)+2)*log(10)/log(2),moebius(n)/2.^n) \\ _Charles R Greathouse IV_, Sep 03 2015

%Y Cf. A008683, A238271, A181673, A238273.

%K nonn,cons,easy

%O 0,3

%A _Robert G. Wilson v_, Feb 21 2014