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Search: id:A082695
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| A082695 |
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Decimal expansion of zeta(2)*zeta(3)/zeta(6). |
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+0
3
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| 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, 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, 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
(list; cons; graph; listen)
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OFFSET
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1,2
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REFERENCES
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S. W. Golomb, Powerful numbers, Amer. Math. Monthly, Vol. 77 (1970), 848-852.
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LINKS
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Eric Weisstein's World of Mathematics, Totient Summatory Function
Eric Weisstein's World of Mathematics, Powerful Number
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FORMULA
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Decimal expansion of product( p prime, 1+1/p/(p-1)).
The sum of the reciprocals of the powerful numbers, A001694. - T. D. Noe (noe(AT)sspectra.com), May 03 2006
product( p prime, 1+1/p/(p-1))=zeta(2)*zeta(3)/zeta(6)=1.94359643682075920505707...
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CROSSREFS
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Cf. A014197, A070243, A082696 (continued fraction).
Adjacent sequences: A082692 A082693 A082694 this_sequence A082696 A082697 A082698
Sequence in context: A097326 A021110 A010540 this_sequence A019909 A117018 A097878
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KEYWORD
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cons,nonn
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AUTHOR
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Benoit Cloitre (benoit7848c(AT)orange.fr), Apr 12 2003
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EXTENSIONS
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New definition from Eric Weisstein (eric(AT)weisstein.com), May 04 2006
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