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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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1
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1, 32, 3044, 304192, 30397486, 3039650754, 303963552392, 30396356427242, 3039635516365908, 303963551173008414, 30396355092886216366, 3039635509283386211140, 303963550927059804025910
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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COMMENTS
| 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
| s = 0; k = 1; Do[ While[ k <= 10^n, s = s + EulerPhi[ k ]; k++ ]; Print[ s ], {n, 0, 8} ]
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CROSSREFS
| Cf. A000010, A002088.
Sequence in context: A111923 A136246 A113500 * A067321 A104652 A135787
Adjacent sequences: A064015 A064016 A064017 * A064019 A064020 A064021
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KEYWORD
| nonn,changed
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AUTHOR
| Robert G. Wilson v (rgwv(AT)rgwv.com), Sep 07 2001
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EXTENSIONS
| More terms from Robert G. Wilson v (rgwv(AT)rgwv.com), Sep 07 2001
a(10)-a(11) from Donovan Johnson (donovan.johnson(AT)yahoo.com), Feb 06 2010
a(12) from Donovan Johnson (donovan.johnson(AT)yahoo.com), Feb 07 2012
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