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A053198 Totients of consecutive pure powers of primes. +0
1
2, 4, 6, 8, 20, 18, 16, 42, 32, 54, 110, 100, 64, 156, 162, 128, 272, 294, 342, 256, 506, 500, 486, 812, 930, 512, 1210, 1332, 1640, 1806, 1024, 1458, 2028, 2162, 2058, 2756, 2500, 3422, 3660, 2048, 4422, 4624, 4970, 5256, 6162, 4374, 6498, 6806, 7832, 4096 (list; graph; listen)
OFFSET

1,1

COMMENT

Totients of prime powers are prime powers only for powers of 2.

FORMULA

a(n)=A000010[A025475(n)]=Phi(p^k)=(p-1)*p^(k-1)

EXAMPLE

The 10th pure power of prime (but not a prime) is 81, so a(10)=EulerPh[81]=54

CROSSREFS

A000010, A051593, A001248, A002618, A036689, A053650, A053191, A053192.

Sequence in context: A048784 A133296 A076402 this_sequence A062897 A014263 A061651

Adjacent sequences: A053195 A053196 A053197 this_sequence A053199 A053200 A053201

KEYWORD

nonn

AUTHOR

Labos E. (labos(AT)ana.sote.hu), Mar 03 2000

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Last modified August 29 17:54 EDT 2008. Contains 143238 sequences.


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