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A097604 Floor( phi(n)*sqrt(2n) ) - n. +0
2
0, 0, 1, 1, 7, 0, 15, 8, 16, 7, 35, 7, 48, 17, 28, 29, 76, 18, 91, 30, 56, 44, 126, 31, 116, 60, 105, 61, 184, 31, 205, 96, 129, 97, 165, 65, 272, 118, 172, 103, 321, 67, 346, 143, 182, 165, 398, 108, 366, 150, 272, 192, 482, 133, 364, 197, 327, 243, 571, 115, 601, 272, 341 (list; graph; listen)
OFFSET

1,5

COMMENT

This is known to be always >= 0, i.e. that n/phi(n) <= sqrt(2n) holds for all n. This is a consequence of the stronger inequality in A079530.

REFERENCES

D. S. Mitrinovic et al., Handbook of Number Theory, Kluwer, p. 9.

CROSSREFS

Cf. A079530, A097850.

Sequence in context: A096408 A005481 A122699 this_sequence A007393 A067152 A052440

Adjacent sequences: A097601 A097602 A097603 this_sequence A097605 A097606 A097607

KEYWORD

nonn

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com), based on emails from Alonso Del Arte (alonso.delarte(AT)gmail.com) and Jud McCranie (j.mccranie(AT)comcast.net), Aug 30 2004

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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