login
This site is supported by donations to The OEIS Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A303497 Decimal expansion of Sum_{p prime} log(p)/p^7. 7
0, 0, 5, 9, 4, 0, 6, 8, 9, 0, 3, 9, 1, 4, 8, 1, 9, 6, 1, 4, 2, 5, 5, 0, 5, 9, 2, 8, 2, 9, 0, 1, 6, 6, 0, 9, 0, 1, 9, 3, 6, 8, 1, 8, 9, 5, 0, 5, 9, 2, 9, 3, 5, 1, 0, 7, 5, 1, 6, 6, 8, 1, 3, 1, 6, 9, 8, 8, 8, 9, 8, 3, 4, 6, 0, 2, 5, 7, 9, 7, 5, 8, 4, 2, 6, 9, 1, 2, 1, 8, 4, 0, 2, 0, 5, 3, 2, 5, 0, 8, 9, 2, 4, 1, 3 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

The negated first derivative of the Prime Zeta function at 7.

LINKS

Table of n, a(n) for n=0..104.

Eric Weisstein's MathWorld, Prime Zeta Function

Wikipedia, Prime Zeta Function

EXAMPLE

0.00594068903914819614255059282901660901936818950592935107516681316988898...

MATHEMATICA

RealDigits[PrimeZetaP'[7], 10, 103][[1]]

CROSSREFS

Decimal expansion of Sum_{p prime} log(p)/p^k: A136271 (k=2), A303493 (k=3), A303494 (k=4), A303495 (k=5), A303496 (k=6), A303497 (k=7), A303498 (k=8), A303499 (k=9).

Sequence in context: A111453 A222074 A245735 * A198990 A153356 A129956

Adjacent sequences:  A303494 A303495 A303496 * A303498 A303499 A303500

KEYWORD

nonn,cons

AUTHOR

Jean-Fran├žois Alcover, Apr 25 2018

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 August 24 23:41 EDT 2019. Contains 326314 sequences. (Running on oeis4.)