A238273 -id:A238273 - cp's OEIS frontend

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

Robert G. Wilson v, Feb 21 2014

Suggested by a posting to SeqFan list by Alonso del Arte at 15:35 on Aug 09 2012.

			0.102011334817810364743036393931824351543610492510291073587388032...

Cf. A008683, A238271, A181673, A238273.

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

sum(n=1,(default(realprecision)+2)*log(10)/log(2),moebius(n)/2.^n) \\ Charles R Greathouse IV, Sep 03 2015

A238271 Decimal expansion of sum(n>=1, mu(n)/3^n ).

Original entry on oeis.org

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

Offset: 0

Robert G. Wilson v, Feb 21 2014

Suggested by a posting to SeqFan list by Alonso Del Arte at 15:35 on Aug 09 2012.

			=0.1819953867026338878278001003005655732263449801353830617592494771...

Cf. A008683, A238270, A181673 & A238273.

RealDigits[ Sum[ N[ MoebiusMu[n] 3^-n, 128], {n, 300}], 10, 111][[1]]

A181673 Decimal expansion of Sum_{n>=1} moebius(n)*(1/10)^n.

Original entry on oeis.org

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

Offset: 0

Mats Granvik, Nov 04 2010

			0.088990900089910989901090009988901109910...

Cf. A008683, A238270, A238271, A238273.

RealDigits[ Sum[ N[ MoebiusMu[n] 10^-n, 128], {n, 120}], 10, 111][[1]] (* Robert G. Wilson v, Feb 21 2014 *)

sum(n=1,default(realprecision)+1,moebius(n)/10.^n) \\ Charles R Greathouse IV, Feb 13 2011

Corrected by Charles R Greathouse IV, May 27 2015

cp's OEIS Frontend

A238270 Decimal expansion of Sum_{n>=1} mu(n)/2^n.

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A238271 Decimal expansion of sum(n>=1, mu(n)/3^n ).

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Mathematica

A181673 Decimal expansion of Sum_{n>=1} moebius(n)*(1/10)^n.

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