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A124012 Decimal expansion of sum_{n>=1} 1/A033286(n), where A033286(n) = n*prime(n). 2
8, 4, 8, 9, 6, 9, 0, 3, 4, 0, 4, 3 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

0,1

COMMENTS

From Robert Price, Jul 14 2010: (Start)

This series converges very slowly. I could not find any transform that converges faster, so I did this by brute force using 256 bits of precision.

After n=596765000000 terms (p(n)=17581469834441) the partial sum is .848 969 034 043 245 206 069 544 346 415 327 714...

The next two digits are either 29 or 30. (End)

LINKS

Table of n, a(n) for n=0..11.

EXAMPLE

0.848969034043...

CROSSREFS

Cf. A033286, A085548, A209329, A210473.

Sequence in context: A110835 A087015 A200224 * A000803 A198063 A093208

Adjacent sequences:  A124009 A124010 A124011 * A124013 A124014 A124015

KEYWORD

cons,more,nonn

AUTHOR

Pierre CAMI, Nov 02 2006

EXTENSIONS

Corrected offset and leading zero. - R. J. Mathar, Jan 31 2009

Added four terms: 4,0,4,3. - Robert Price, Jul 14 2010

Edited title and example. - M. F. Hasler, Jan 13 2015

STATUS

approved

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Last modified December 11 04:17 EST 2016. Contains 279034 sequences.