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A062758 Product of squares of divisors of n. 19
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; refs; listen; history; text; internal format)
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, Mar 04 2008

MATHEMATICA

Times@@(Divisors[#]^2)&/@Range[40] (* Harvey P. Dale, Jan 14 2011 *)

PROG

(PARI) { for (n=1, 1000, write("b062758.txt", n, " ", n^numdiv(n)) ) } \\ Harry J. Smith, Aug 10 2009

CROSSREFS

Cf. A000005, A007955.

Sequence in context: A059479 A094083 A168251 * A217854 A028822 A270696

Adjacent sequences:  A062755 A062756 A062757 * A062759 A062760 A062761

KEYWORD

nonn

AUTHOR

Labos Elemer, Jul 16 2001

STATUS

approved

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Last modified January 20 17:05 EST 2019. Contains 319335 sequences. (Running on oeis4.)