Search: id:A082695
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%I A082695
%S A082695 1,9,4,3,5,9,6,4,3,6,8,2,0,7,5,9,2,0,5,0,5,7,0,7,0,3,6,2,5,7,4,7,6,3,4,
%T A082695 3,7,1,8,7,8,5,8,5,0,1,7,6,7,8,0,5,7,1,6,0,2,6,6,3,5,6,8,8,9,0,0,5,3,4,
%U A082695 9,5,0,6,9,3,5,5,4,0,5,3,9,4,8,1,7,9,1,0,0,8,2,1,1,1,1,3,0,1,0,6,9,0,5
%N A082695 Decimal expansion of zeta(2)*zeta(3)/zeta(6).
%D A082695 S. W. Golomb, Powerful numbers, Amer. Math. Monthly, Vol. 77 (1970), 
               848-852.
%H A082695 Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/
               TotientSummatoryFunction.html">Totient Summatory Function</a>
%H A082695 Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/
               PowerfulNumber.html">Powerful Number</a>
%F A082695 Decimal expansion of product( p prime, 1+1/p/(p-1)).
%F A082695 The sum of the reciprocals of the powerful numbers, A001694. - T. D. 
               Noe (noe(AT)sspectra.com), May 03 2006
%F A082695 product( p prime, 1+1/p/(p-1))=zeta(2)*zeta(3)/zeta(6)=1.94359643682075920505707...
%Y A082695 Cf. A014197, A070243, A082696 (continued fraction).
%Y A082695 Sequence in context: A097326 A021110 A010540 this_sequence A019909 A117018 
               A097878
%Y A082695 Adjacent sequences: A082692 A082693 A082694 this_sequence A082696 A082697 
               A082698
%K A082695 cons,nonn
%O A082695 1,2
%A A082695 Benoit Cloitre (benoit7848c(AT)orange.fr), Apr 12 2003
%E A082695 New definition from Eric Weisstein (eric(AT)weisstein.com), May 04 2006

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