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A046520 Sum of divisors of n - phi(n) - number of divisors of n. +0
3
-1, 0, 0, 2, 0, 6, 0, 7, 4, 10, 0, 18, 0, 14, 12, 18, 0, 27, 0, 28, 16, 22, 0, 44, 8, 26, 18, 38, 0, 56, 0, 41, 24, 34, 20, 70, 0, 38, 28, 66, 0, 76, 0, 58, 48, 46, 0, 98, 12, 67, 36, 68, 0, 94, 28, 88, 40, 58, 0, 140, 0, 62, 62, 88, 32, 116, 0, 88, 48, 112, 0, 159, 0, 74 (list; graph; listen)
OFFSET

1,4

COMMENT

Always >= 0 for n >= 2. a(n)=0 if and only if n is prime.

REFERENCES

D. S. Mitrinovic et al., Handbook of Number Theory, Kluwer, Section I.3.1 (but they have "tau" instead of "sigma").

LINKS

T. D. Noe, Table of n, a(n) for n=1..10000

N. J. A. Sloane, My favorite integer sequences, in Sequences and their Applications (Proceedings of SETA '98).

CROSSREFS

Cf. A079538, A079539

a(n) = A000203(n) - A000010(n) - A000005(n).

Sequence in context: A050821 A076257 A162974 this_sequence A157195 A019781 A167294

Adjacent sequences: A046517 A046518 A046519 this_sequence A046521 A046522 A046523

KEYWORD

sign,easy

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

EXTENSIONS

Corrected by Dean Hickerson, dean.hickerson(AT)yahoo.com, Dec 19 2006

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Last modified November 25 14:49 EST 2009. Contains 167514 sequences.


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