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A056798
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Prime powers with even exponents >=0.
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7
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1, 4, 9, 16, 25, 49, 64, 81, 121, 169, 256, 289, 361, 529, 625, 729, 841, 961, 1024, 1369, 1681, 1849, 2209, 2401, 2809, 3481, 3721, 4096, 4489, 5041, 5329, 6241, 6561, 6889, 7921, 9409, 10201, 10609, 11449, 11881, 12769, 14641, 15625, 16129, 16384
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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COMMENTS
| Also numbers n for which the Geometric Mean of divisors of n is an integer. [From Ctibor O. Zizka (c.zizka(AT)email.cz), Sep 29 2008]
a(n) = A025473(n)^(2*A025474(n)) = A000961(n)^2;
A001222(a(n)) mod 2 = 0;
A003415(a(n)) = A192083(n); A068346(a(n)) = A192084(n). [Reinhard Zumkeller, Jun 26 2011]
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LINKS
| T. D. Noe, Table of n, a(n) for n=1..10000
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MATHEMATICA
| Take[Union[Flatten[Table[Prime[n]^k, {n, 31}, {k, 0, 14, 2}]]], 45] (* From Alonso del Arte, Jul 05 2011 *)
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CROSSREFS
| Cf. A000961, A025475.
Sequence in context: A069560 A075494 A063735 * A036454 A115648 A082522
Adjacent sequences: A056795 A056796 A056797 * A056799 A056800 A056801
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KEYWORD
| nonn
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AUTHOR
| Labos E. (labos(AT)ana.sote.hu), Aug 28 2000
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