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Decimal expansion of sum(n>=1, mu(n)/3^n ).
+10
5
1, 8, 1, 9, 9, 5, 3, 8, 6, 7, 0, 2, 6, 3, 3, 8, 8, 7, 8, 2, 7, 8, 0, 0, 1, 0, 0, 3, 0, 0, 5, 6, 5, 5, 7, 3, 2, 2, 6, 3, 4, 4, 9, 8, 0, 1, 3, 5, 3, 8, 3, 0, 6, 1, 7, 5, 9, 2, 4, 9, 4, 7, 7, 1, 6, 3, 2, 4, 2, 0, 4, 8, 3, 6, 8, 5, 0, 5, 4, 1, 6, 4, 2, 2, 8, 9, 8, 3, 9, 5, 7, 7, 6, 4, 9, 2, 3, 9, 9, 0, 2, 6, 9, 9, 4
COMMENTS
Suggested by a posting to SeqFan list by Alonso Del Arte at 15:35 on Aug 09 2012.
EXAMPLE
=0.1819953867026338878278001003005655732263449801353830617592494771...
MATHEMATICA
RealDigits[ Sum[ N[ MoebiusMu[n] 3^-n, 128], {n, 300}], 10, 111][[1]]
Decimal expansion of Sum_{n>=1} moebius(n)*(1/10)^n.
+10
4
0, 8, 8, 9, 9, 0, 9, 0, 0, 0, 8, 9, 9, 1, 0, 9, 8, 9, 9, 0, 1, 0, 9, 0, 0, 0, 9, 9, 8, 8, 9, 0, 1, 1, 0, 9, 9, 1, 0, 9, 8, 8, 9, 0, 0, 0, 9, 0, 0, 0, 0, 9, 9, 0, 1, 0, 1, 0, 8, 9, 9, 1, 0, 0, 0, 8, 9, 0, 0, 8, 8, 9, 9, 1, 0, 0, 0, 8, 9, 0, 0, 0, 9, 0, 1, 1, 0, 9, 9
EXAMPLE
0.088990900089910989901090009988901109910...
MATHEMATICA
RealDigits[ Sum[ N[ MoebiusMu[n] 10^-n, 128], {n, 120}], 10, 111][[1]] (* Robert G. Wilson v, Feb 21 2014 *)
Decimal expansion of Sum_{n>=1} mu(n)/2^n.
+10
4
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
COMMENTS
Suggested by a posting to SeqFan list by Alonso del Arte at 15:35 on Aug 09 2012.
EXAMPLE
0.102011334817810364743036393931824351543610492510291073587388032...
MATHEMATICA
RealDigits[ Sum[ N[ MoebiusMu[n] 2^-n, 128], {n, 380}], 10, 111][[1]]
PROG
(PARI) sum(n=1, (default(realprecision)+2)*log(10)/log(2), moebius(n)/2.^n) \\ Charles R Greathouse IV, Sep 03 2015
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