Search: id:A131653
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%I A131653
%S A131653 0,3,8,5,1,6,1,9,2,9,8,2,6,9,4,6,4,0,9,1,2,8,3,7,9,2,2,6,2,8,0,6,0,3,9,
%T A131653 5,4,3,8,9,0,0,1,6,7,4,7,8,3,8,1,5,7,1,9,3,7,1,9,1,5,5,8,9,2,2,3,7,5,5,
%U A131653 3,7,8,3,4,5,9,1,6,6,1,3,9,3,0,4,7,4,1,4,7,6,2,0,4,9,4,7,1,5,0,8,4,4,5
%N A131653 Decimal expansion of the sum of the reciprocals of squared 3-almost primes.
%C A131653 Zeta(2)=A013661 is 1 plus a sum over inverse squares of k-almost primes, 
               k=1 to infinity, where A085548 represents k=1, A117543 represents 
               k=2 and this constant here represents k=3.
%H A131653 R. J. Mathar, <a href="http://arXiv.org/abs/0803.0900">Series of reciprocal 
               powers of k-almost primes</a>, arXiv:0803.0900 [math.NT].
%F A131653 Equals A085548^3 / 6 + A085966 / 3 + A085548 * A085964 / 2. Equals sum_(i=1,
               2,...infinity) 1/A000290[A014612(i)].
%e A131653 Equals 0.038516192982694640912837922628060395438900167478381571937...
%Y A131653 Cf. A117543, A085548.
%Y A131653 Sequence in context: A051359 A016670 A021726 this_sequence A011239 A113813 
               A110944
%Y A131653 Adjacent sequences: A131650 A131651 A131652 this_sequence A131654 A131655 
               A131656
%K A131653 cons,nonn
%O A131653 0,2
%A A131653 R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Sep 10 2007, Mar 07 2008

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