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Search: id:A052410
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| A052410 |
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a(n) = smallest integer root k for which a representation of the form n = k^m exists (for some m). |
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+0
8
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| 1, 2, 3, 2, 5, 6, 7, 2, 3, 10, 11, 12, 13, 14, 15, 2, 17, 18, 19, 20, 21, 22, 23, 24, 5, 26, 3, 28, 29, 30, 31, 2, 33, 34, 35, 6, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 7, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 2, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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Value of a in a^p=n, where p is the largest power given by A052409.
For n>1: n is a perfect power iff a(n)<>n. - Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Oct 13 2002
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LINKS
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Daniel Forgues, Table of n, a(n) for n=1..100000
Eric Weisstein's World of Mathematics, Power
Eric Weisstein's World of Mathematics, Perfect Power
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MATHEMATICA
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Table[If[n==1, 1, n^(1/(GCD@@(Last/@FactorInteger[n])))], {n, 100}]
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CROSSREFS
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Cf. A052409.
a(A001597(k))=A025478(k).
Sequence in context: A053166 A166140 A019555 this_sequence A072775 A090078 A080979
Adjacent sequences: A052407 A052408 A052409 this_sequence A052411 A052412 A052413
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KEYWORD
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nonn
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AUTHOR
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Eric Weisstein (eric(AT)weisstein.com)
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EXTENSIONS
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Definition edited (in a complementary form to A052409) by Daniel Forgues, Mar 14 2009
Corrected by Charles R Greathouse IV (charles.greathouse(AT)case.edu), Sep 02 2009
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