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A062758
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Product of squares of divisors of n.
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8
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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; internal format)
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OFFSET
| 1,2
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LINKS
| Harry J. Smith, Table of n, a(n) for n=1,...,1000
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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
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MATHEMATICA
| Times@@(Divisors[#]^2)&/@Range[40] (* From Harvey P. Dale, Jan 14 2011 *)
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PROG
| (PARI) { for (n=1, 1000, write("b062758.txt", n, " ", n^numdiv(n)) ) } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Aug 10 2009]
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CROSSREFS
| Cf. A000005, A007955.
Sequence in context: A059479 A094083 A168251 * A028822 A069495 A029788
Adjacent sequences: A062755 A062756 A062757 * A062759 A062760 A062761
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KEYWORD
| nonn
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AUTHOR
| Labos E. (labos(AT)ana.sote.hu), Jul 16 2001
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