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Search: id:A064018
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| A064018 |
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Sum_{k <= 10^n} Euler totient phi(k); A002088(k) = Phi(k). |
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+0
1
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| 1, 32, 3044, 304192, 30397486, 3039650754, 303963552392, 30396356427242, 3039635516365908, 303963551173008414
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OFFSET
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0,2
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COMMENT
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Conjecture: It would appear that the sum from 1 to n approaches the limit 0.30396355*n^2 = (3/Pi^2)*n^2.
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MATHEMATICA
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s = 0; k = 1; Do[ While[ k <= 10^n, s = s + EulerPhi[ k ]; k++ ]; Print[ s ], {n, 0, 8} ]
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CROSSREFS
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Cf. A000010 and A002088.
Sequence in context: A111923 A136246 A113500 this_sequence A067321 A104652 A135787
Adjacent sequences: A064015 A064016 A064017 this_sequence A064019 A064020 A064021
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KEYWORD
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nonn
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AUTHOR
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Robert G. Wilson v (rgwv(AT)rgwv.com), Sep 07 2001
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EXTENSIONS
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More terms from Robert G. Wilson v (rgwv(AT)rgwv.com), Sep 07 2001
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