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A063893 Numbers n such that sum of proper divisors or aliquot parts of n^2 is a square. 0
1, 3, 49, 35713, 102851, 949818597, 1070640001 (list; graph; refs; listen; history; internal format)
OFFSET

1,2

REFERENCES

A. H. Beiler, Recreations in the Theory of Numbers, Dover, NY, 1964, p. 10.

EXAMPLE

a(3)=49 because 49^2=2401 and sum of aliquot divisors of 2401: 1+7+49+343=400=20^2.

PROG

(PARI) s(n)=sigma(n)-n; for(n=1, 10^8, if(issquare(s(n^2)), print(n)))

CROSSREFS

Cf. A008847, A001065.

Sequence in context: A180602 A086459 A203700 * A145572 A012857 A034201

Adjacent sequences:  A063890 A063891 A063892 * A063894 A063895 A063896

KEYWORD

hard,nice,nonn

AUTHOR

Jason Earls (zevi_35711(AT)yahoo.com), Aug 29 2001

EXTENSIONS

a(6) from Naohiro Nomoto (n_nomoto(AT)yabumi.com), Jun 06 2002

a(7) from Giovanni Resta (g.resta(AT)iit.cnr.it), Jan 31 2012

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Last modified February 14 22:37 EST 2012. Contains 205679 sequences.