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A078166 phi[n] is a perfect sixth power. +0
8
1, 2, 85, 128, 136, 160, 170, 192, 204, 240, 4369, 8192, 8224, 8704, 8738, 10240, 10280, 10880, 12288, 12336, 13056, 15360, 15420, 16320, 47197, 47239, 47989, 49267, 49589, 50557, 51319, 52429, 52649, 55699, 57589, 57953, 59495, 63973 (list; graph; listen)
OFFSET

1,2

EXAMPLE

phi of the sequence includes 1,64,4096,46656,..; powers arise several times; a(3)=A053576[6]=85; in sequence relatively large jumps are observable when power of new numbers appear.

MATHEMATICA

k=6; Do[s=EulerPhi[n]^(1/k); If[IntegerQ[s], Print[n]], {n, 1, 100000}]

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.

Adjacent sequences: A078163 A078164 A078165 this_sequence A078167 A078168 A078169

Sequence in context: A108312 A065591 A099373 this_sequence A101578 A041881 A076542

KEYWORD

nonn

AUTHOR

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

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Last modified October 5 16:50 EDT 2008. Contains 144613 sequences.


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