A154946 - OEIS

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A154946

Decimal expansion of the sum_p 1/((p-1)*log p) over the primes p=A000040.

0

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

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OFFSET

1,1

COMMENTS

Variant of A137245.

LINKS

Table of n, a(n) for n=1..18.

R. J. Mathar, Twenty digits of some integrals of the Prime Zeta Function, arXiv:0811.4739 [math.NT], variable P^L(1,0) section 2.4.

FORMULA

Equals sum_{i=1,2,3..infinity} 1/( A006093(i)*log A000040(i)).

EXAMPLE

Equals 2.56434322068...= 1/(1*log 2)+1/(2*log 3)+1/(4*log 5)+1/(6*log 7)+...

CROSSREFS

Sequence in context: A021043 A213736 A202343 * A368050 A343933 A262152

Adjacent sequences: A154943 A154944 A154945 * A154947 A154948 A154949

KEYWORD

cons,nonn,more

AUTHOR

R. J. Mathar, Jan 17 2009

STATUS

approved