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Search: id:A060753
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| A060753 |
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Numerator of 1*2*4*6*..*(Prime(n-1)-1) / (2*3*5*7*.. *Prime(n-1)) |
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+0
6
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| 1, 2, 3, 15, 35, 77, 1001, 17017, 323323, 676039, 2800733, 86822723, 3212440751, 131710070791, 5663533044013, 11573306655157, 47183480978717, 95993978542907, 5855632691117327, 392327390304860909
(list; graph; listen)
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OFFSET
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1,2
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REFERENCES
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G. H. Hardy and E. M. Wright, An Introduction to the Theory of Numbers, 5th ed., Oxford Univ. Press, 1979, th. 429
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LINKS
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F. Ellermann, Illustration for A002110, A005867, A038110, A060753
Eric Weisstein's World of Mathematics, Euler Product
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FORMULA
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a(n) = A002110(n) / gcd( A005867(n), A002110(n) )
A038110(n) / a(n) ~ exp( -gamma ) / ln( p(n) ), Merten's theorem for x = p(n)= A000040(n)
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EXAMPLE
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A038110(50)/ a(50)= 0.1020.., exp(-gamma)/ln(229)= 0.1033..
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CROSSREFS
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A038110(n) / a(n) = A005876(n) / A002110(n).
Sequence in context: A030072 A064219 A124164 this_sequence A143880 A037388 A048076
Adjacent sequences: A060750 A060751 A060752 this_sequence A060754 A060755 A060756
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KEYWORD
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nonn,frac
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AUTHOR
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Frank Ellermann (Frank.Ellermann(AT)t-online.de), Apr 23 2001
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