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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 A305242 A039370

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 December 1 14:10 EST 2021. Contains 349430 sequences. (Running on oeis4.)