login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A072102 Decimal expansion of sum of reciprocal perfect powers (excluding 1). 7
8, 7, 4, 4, 6, 4, 3, 6, 8, 4, 0, 4, 9, 4, 4, 8, 6, 6, 6, 9, 4, 3, 5, 1, 3, 2, 0, 5, 9, 7, 3, 7, 3, 1, 6, 5, 9, 3, 5, 3, 3, 8, 4, 3, 1, 9, 2, 4, 2, 1, 4, 5, 7, 7, 6, 2, 5, 7, 8, 8, 2, 5, 3, 5, 0, 9, 3, 7, 0, 0, 6, 4, 1, 2, 9, 7, 2, 3, 6, 7, 6, 5, 9, 9, 3, 3, 2, 2, 6, 1, 7, 8, 5, 7, 5, 8, 0, 1, 6, 2, 8, 7, 7, 0, 6, 3, 4, 1, 9, 3, 6, 2, 5, 5, 9, 0, 5, 3, 0, 1 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

0,1

REFERENCES

Steven R. Finch, Mathematical Constants, Cambridge University Press, 2003, p. 113.

LINKS

Table of n, a(n) for n=0..119.

Eric Weisstein's World of Mathematics, Perfect Power.

FORMULA

From Amiram Eldar, Aug 20 2020: (Start)

Equals Sum_{k>=2} 1/A001597(k).

Equals Sum_{k>=2} mu(k)*(1-zeta(k)). (End)

EXAMPLE

0.874464368404944866694351320597373165935338431924214...

MATHEMATICA

RealDigits[Total[Block[{$MaxExtraPrecision = 10^3}, N[#, 120] & /@ Table[MoebiusMu[k] (1 - Zeta[k]), {k, 2, 10^3}]]]][[1]]

CROSSREFS

Cf. A001597.

Sequence in context: A260060 A260800 A196914 * A274442 A249136 A154815

Adjacent sequences:  A072099 A072100 A072101 * A072103 A072104 A072105

KEYWORD

nonn,cons

AUTHOR

Eric W. Weisstein, Jun 18 2002

EXTENSIONS

Corrected by Eric W. Weisstein, May 06 2013

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified April 13 01:36 EDT 2021. Contains 342934 sequences. (Running on oeis4.)