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A137250 Decimal expansion of the constant sum 1/(q*log(q)), summed over prime powers q>1. 0
2, 0, 0, 6, 6, 6, 6, 4, 5, 2, 8, 3, 1, 0, 6, 8, 7, 5, 6, 4, 3, 2, 2, 9 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Evaluated from sum(m,k=1,2,3,..infinity) A008683(k)* I(k*m)/k^2, where I(x)=integral log zeta(t), t=x..infinity, is Cohen's underivative.

LINKS

Table of n, a(n) for n=1..24.

D. A. Clark, An upper bound of sum 1/(a_i log a_i) for quasi-primitive sequences, Comp. Math. Appl., 35 (1998), 105-109.

H. Cohen, High precision computation of Hardy-Littlewood constants, preprint, 1998.

R. J. Mathar, Twenty digits of some Integrals of the Prime Zeta Function, arXiv:0811.4739 [math.NT].

FORMULA

Equals sum 1/[ A000961(n)*log(A000961(n))], n=2,3,..., infinity.

EXAMPLE

2.0066664528310687...

CROSSREFS

Sequence in context: A231063 A295216 A230250 * A329290 A244133 A244142

Adjacent sequences:  A137247 A137248 A137249 * A137251 A137252 A137253

KEYWORD

more,nonn,cons

AUTHOR

R. J. Mathar, Mar 09 2008

EXTENSIONS

8 more digits from R. J. Mathar, Dec 04 2008

STATUS

approved

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Last modified November 22 08:33 EST 2019. Contains 329389 sequences. (Running on oeis4.)