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A097982 Numbers n such that (phi(n) + sigma(n))/(rad(n))^2 is an integer > 1 (phi=A000010, sigma=A000203, rad=A007947). +0
4
864, 2430, 7776, 27000, 55296, 69984, 82134, 215622, 432000, 497664, 629856, 675000, 862488 (list; graph; listen)
OFFSET

1,1

REFERENCES

J.-M. De Koninck and A.Mercier, 1001 Problemes en Theorie Classique Des Nombres, Problem 749 pp. 95, 319, Ellipses Paris 2004.

EXAMPLE

For example: phi(864) = 288, sigma(864) = 2520, 864 = 2^5*3^3. (288+2520)/6^2 = 78.

MATHEMATICA

f[n_] := (DivisorSigma[1, n] + EulerPhi[n])/(Times @@ Transpose[FactorInteger[n]][[1]])^2; Do[ If[IntegerQ[f[n] && f[n] != 1], Print[n]], {n, 2, 1000000}] - Tanya Khovanova (tanyakh(AT)yahoo.com), Aug 30 2006

CROSSREFS

Sequence in context: A108822 A115749 A105323 this_sequence A064321 A082243 A114497

Adjacent sequences: A097979 A097980 A097981 this_sequence A097983 A097984 A097985

KEYWORD

more,nonn

AUTHOR

Lekraj Beedassy (blekraj(AT)yahoo.com), Sep 07 2004

EXTENSIONS

More terms from Tanya Khovanova (tanyakh(AT)yahoo.com), Aug 30 2006

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


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