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A078169 phi[n] is a perfect 9th power. +0
8
1, 2, 771, 1024, 1028, 1088, 1280, 1360, 1536, 1542, 1632, 1920, 2040, 327685, 524288, 524296, 526336, 557056, 559232, 655360, 655370, 657920, 696320, 699040, 786432, 786444, 789504, 835584, 838848, 983040, 986880, 1044480, 1048560 (list; graph; listen)
OFFSET

1,2

EXAMPLE

phi of the sequence includes 1,512,262144,.. etc.; powers arise several times; a(3)=A053576[9]=771; in sequence smoother ranges and quite large jumps arise when power of new numbers appear as phi-values.

MATHEMATICA

k=9; Do[s=EulerPhi[n]^(1/k); If[IntegerQ[s], Print[n]], {n, 1, 10000000}]

CROSSREFS

Cf. A039770[square], A039771[cube], A078164[4th], A078165[5th], A078166[6th], A078167[7th], A078168[8th], A078169[9th], A078170[10th power], A001317, A053576, A045544, A000010.

Sequence in context: A145124 A102969 A167448 this_sequence A109555 A013537 A028485

Adjacent sequences: A078166 A078167 A078168 this_sequence A078170 A078171 A078172

KEYWORD

nonn

AUTHOR

Labos E. (labos(AT)ana.sote.hu), Nov 27 2002

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Last modified December 15 00:47 EST 2009. Contains 170825 sequences.


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