Search: id:A085541
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%I A085541
%S A085541 1,7,4,7,6,2,6,3,9,2,9,9,4,4,3,5,3,6,4,2,3,1,1,3,3,1,4,6,6,5,7,0,6,7,0,
%T A085541 0,9,7,5,4,1,2,1,2,1,9,2,6,1,4,9,2,8,9,8,8,8,6,7,2,0,1,6,7,0,1,6,3,1,5,
%U A085541 8,9,5,2,8,1,2,9,5,8,7,6,3,5,6,3,4,2,0,0,5,3,6,9,7,2,5,6,0,5,4,6,7,9,1
%N A085541 Decimal expansion of the prime zeta function at 3.
%H A085541 H. Cohen, <a href="http://www.math.u-bordeaux.fr/~cohen/hardylw.dvi">
               High Precision Computation of Hardy-Littlewood Constants</a>, Preprint.
%H A085541 X. Gourdon and P. Sebah, <a href="http://numbers.computation.free.fr/
               Constants/Miscellaneous/constantsNumTheory.html">Some Constants from 
               Number theory</a>
%H A085541 Gerhard Niklasch and Pieter Moree, <a href="http://www.gn-50uma.de/alula/
               essays/Moree/Moree.en.shtml">Some number-theoretical constants</a>
%H A085541 Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/
               PrimeZetaFunction.html">Prime Zeta Function</a>
%F A085541 P(3) = Sum_{p prime>=2} 1/p^3 = Sum_{n=1..inf} mobius(n)*log(zeta(3*n))/
               n - Antonio G. Astudillo (afg_astudillo(AT)lycos.com), Jul 06 2003
%e A085541 0.1747626392994435364231...
%o A085541 (PARI) recip3(n) = { v=0; p=1; forprime(y=2,n, v=v+1./y^3; ); print(v) 
               }
%Y A085541 Cf. A085548.
%Y A085541 Sequence in context: A153186 A085469 A050996 this_sequence A133055 A021576 
               A010509
%Y A085541 Adjacent sequences: A085538 A085539 A085540 this_sequence A085542 A085543 
               A085544
%K A085541 easy,nonn,cons
%O A085541 0,2
%A A085541 Cino Hilliard (hillcino368(AT)gmail.com), Jul 02 2003
%E A085541 More terms from Antonio G. Astudillo (afg_astudillo(AT)lycos.com), Jul 
               06 2003

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