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A117453
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Perfect powers in more than one way.
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3
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1, 16, 64, 81, 256, 512, 625, 729, 1024, 1296, 2401, 4096, 6561, 10000, 14641, 15625, 16384, 19683, 20736, 28561, 32768, 38416, 46656, 50625, 59049, 65536, 83521, 104976, 117649, 130321, 160000, 194481, 234256, 262144, 279841, 331776, 390625
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OFFSET
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1,2
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COMMENTS
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Corresponding values of ways for a(n) in A175066(n) for n >= 2. [From Jaroslav Krizek, Jan 23 2010]
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LINKS
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Donovan Johnson, Table of n, a(n) for n = 1..10000
Eric Weisstein's World of Mathematics, Perfect Power
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EXAMPLE
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16 = 2^4 = 4^2
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MATHEMATICA
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s = Split@ Sort@ Flatten@ Table[ n^i, {n, 2, Sqrt@456975}, {i, 2, Log[n, 456975]}]; Union@ Flatten@ Select[s, Length@ # > 1 &] (* Robert G. Wilson v *)
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CROSSREFS
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Cf. A001597.
Sequence in context: A118902 A092210 A062320 * A039370 A129588 A043193
Adjacent sequences: A117450 A117451 A117452 * A117454 A117455 A117456
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KEYWORD
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nonn
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AUTHOR
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Eric W. Weisstein, Mar 16, 2006
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EXTENSIONS
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More terms from Robert G. Wilson v, Apr 12 2006
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STATUS
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approved
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