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A062758 Product of squares of divisors of n. +0
7
1, 4, 9, 64, 25, 1296, 49, 4096, 729, 10000, 121, 2985984, 169, 38416, 50625, 1048576, 289, 34012224, 361, 64000000, 194481, 234256, 529, 110075314176, 15625, 456976, 531441, 481890304, 841, 656100000000, 961, 1073741824, 1185921 (list; graph; listen)
OFFSET

1,2

LINKS

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

FORMULA

a(n) = n^tau(n) = n^A000005(n) = A007955(n)^2

A007318(n,k) <= a(n). - Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Mar 04 2008

PROGRAM

(PARI) { for (n=1, 1000, write("b062758.txt", n, " ", n^numdiv(n)) ) } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Aug 10 2009]

CROSSREFS

Cf. A000005, A007955.

Sequence in context: A073658 A059479 A094083 this_sequence A028822 A069495 A029788

Adjacent sequences: A062755 A062756 A062757 this_sequence A062759 A062760 A062761

KEYWORD

nonn

AUTHOR

Labos E. (labos(AT)ana.sote.hu), Jul 16 2001

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


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