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A064498 Sum of unitary divisors of n^2 is a square. +0
1
1, 42, 120, 156, 246, 287, 1434, 1673, 2016, 5256, 9799, 11808, 18330, 19740, 21385, 34440, 39990, 44772, 45990, 46655, 57270, 60156, 66815, 68832, 102648, 115620, 125255, 149472, 156570, 170820, 182665, 195510, 200760, 208182, 223944, 224196 (list; graph; listen)
OFFSET

1,2

LINKS

Harry J. Smith, Table of n, a(n) for n=1,...,100

PROGRAM

(PARI) {usigma(n, s=1, fac, i)= fac=factor(n); for(i=1, matsize(fac)[1], s=s*(1+fac[i, 1]^fac[i, 2]); ); return(s); } for(n=1, 10^6, if(issquare(usigma(n^2)), print1(n, " ")))

(PARI) usigma(n)= { local(f, s=1); f=factor(n); for(i=1, matsize(f)[1], s*=1 + f[i, 1]^f[i, 2]); return(s) } { n=0; for (m=1, 10^9, if (issquare(usigma(m^2)), write("b064498.txt", n++, " ", m); if (n==100, break)) ) } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Sep 16 2009]

CROSSREFS

Cf. A034448.

Sequence in context: A044229 A044610 A128674 this_sequence A113518 A044293 A044674

Adjacent sequences: A064495 A064496 A064497 this_sequence A064499 A064500 A064501

KEYWORD

easy,nonn

AUTHOR

Jason Earls (zevi_35711(AT)yahoo.com), Oct 05 2001

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Last modified November 27 22:38 EST 2009. Contains 167602 sequences.


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