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Search: id:A062503
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A062503 Square-free numbers squared. +0
3
1, 4, 9, 25, 36, 49, 100, 121, 169, 196, 225, 289, 361, 441, 484, 529, 676, 841, 900, 961, 1089, 1156, 1225, 1369, 1444, 1521, 1681, 1764, 1849, 2116, 2209, 2601, 2809, 3025, 3249, 3364, 3481, 3721, 3844, 4225, 4356, 4489, 4761, 4900, 5041, 5329, 5476 (list; graph; listen)
OFFSET

1,2

COMMENT

Also, except for the initial term, numbers whose prime factors are squared. - Cino Hilliard (hillcino368(AT)gmail.com), Jan 25 2006

LINKS

Harry J. Smith, Table of n, a(n) for n=1,...,1000

FORMULA

n such that sumdiv(n, d, mu(d)*mu(n/d)) = 1 - Benoit Cloitre (benoit7848c(AT)orange.fr), Mar 03 2004

MATHEMATICA

lst={}; Do[a=0; Do[If[FactorInteger[m][[n, 2]]!=2, a=1], {n, Length[FactorInteger[m]]}]; If[a==0, AppendTo[lst, m]], {m, 8!}]; lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Sep 27 2008]

PROGRAM

(PARI) je=[]; for(n=1, 200, if(issquarefree(n), je=concat(je, n^2), )); je

(PARI) { n=0; for (m=1, 10^5, if(issquarefree(m), write("b062503.txt", n++, " ", m^2); if (n==1000, break)) ) } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Aug 08 2009]

CROSSREFS

Cf. A005117.

Sequence in context: A030140 A153158 A111245 this_sequence A063577 A087058 A046659

Adjacent sequences: A062500 A062501 A062502 this_sequence A062504 A062505 A062506

KEYWORD

nonn

AUTHOR

Jason Earls (zevi_35711(AT)yahoo.com), Jul 09 2001

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Last modified December 19 21:04 EST 2009. Contains 171054 sequences.


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