A238270 Decimal expansion of Sum_{n>=1} mu(n)/2^n.
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, 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, 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
Offset: 0
Examples
0.102011334817810364743036393931824351543610492510291073587388032...
Programs
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Mathematica
RealDigits[ Sum[ N[ MoebiusMu[n] 2^-n, 128], {n, 380}], 10, 111][[1]]
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PARI
sum(n=1,(default(realprecision)+2)*log(10)/log(2),moebius(n)/2.^n) \\ Charles R Greathouse IV, Sep 03 2015
Comments