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A117453 Perfect powers in more than one way. 12
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 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Corresponding values of ways for a(n) in A175066(n) for n >= 2. - Jaroslav Krizek, Jan 23 2010

Perfect powers expressible as m^k with k composite. - Charlie Neder, Mar 02 2019

LINKS

Donovan Johnson, Table of n, a(n) for n = 1..10000

Eric Weisstein's World of Mathematics, Perfect Power

EXAMPLE

16 = 2^4 = 4^2.

MATHEMATICA

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, Apr 12 2006 *)

CROSSREFS

Cf. A001597, A322449.

Sequence in context: A062320 A233330 A322449 * A340588 A352475 A305242

Adjacent sequences:  A117450 A117451 A117452 * A117454 A117455 A117456

KEYWORD

nonn

AUTHOR

Eric W. Weisstein, Mar 16 2006

EXTENSIONS

More terms from Robert G. Wilson v, Apr 12 2006

STATUS

approved

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Last modified May 31 14:55 EDT 2022. Contains 354176 sequences. (Running on oeis4.)