

A136271


Decimal expansion of sum log(p)/p^2 over the primes p=2,3,5,7,11,...


2



4, 9, 3, 0, 9, 1, 1, 0, 9, 3, 6, 8, 7, 6, 4, 4, 6, 2, 1, 9, 7, 8, 2, 6, 2, 0, 5, 0, 5, 6, 4, 9, 1, 2, 5, 8, 0, 5, 5, 5, 8, 8
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OFFSET

0,1


COMMENTS

The negative first derivative of the Prime Zeta function at 2.


LINKS

Table of n, a(n) for n=0..41.
H. Cohen, Highprecision calculation of HardyLittlewood constants, preprint 1998.
R. J. Mathar, Series of reciprocal powers of kalmost primes, arXiv:0803.0900 [math.NT], Table 2.


FORMULA

Equals sum_{n=1,2,..infinity} log(A000040(n))/A001248(n).


EXAMPLE

0.4930911093687...


CROSSREFS

Sequence in context: A011262 A073843 A073842 * A113970 A021957 A096301
Adjacent sequences: A136268 A136269 A136270 * A136272 A136273 A136274


KEYWORD

cons,more,nonn


AUTHOR

R. J. Mathar, Mar 09 2008


EXTENSIONS

Removed 6 digits where preprints disagree. Added zero to an Anumber in formula. Corrected Cohen preprint year. Added 2nd link.  R. J. Mathar, Nov 27 2008


STATUS

approved



