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A175504
a(n) = n ^ (phi(n) - 1), phi(n) = A000010(n) = Euler totient function.
1
1, 1, 3, 4, 125, 6, 16807, 512, 59049, 1000, 2357947691, 1728, 1792160394037, 537824, 170859375, 268435456, 2862423051509815793, 1889568, 5480386857784802185939, 1280000000, 350277500542221
OFFSET
1,3
COMMENTS
a(n) = A062981(n) / n. a(n) = A001783(n) / n * Product_{d|n} (d!/d^d)^A008683(n/d) = (Product_{GCD(k, n)=1} k) / (n * Product_{d|n} (d!/d^d)^A008683(n/d)).
MATHEMATICA
Table[n^(EulerPhi[n]-1), {n, 25}] (* Harvey P. Dale, Feb 13 2011 *)
PROG
(PARI) a(n)=n^(eulerphi(n)-1) \\ Charles R Greathouse IV, Mar 05 2013
CROSSREFS
Sequence in context: A066496 A041465 A004124 * A308944 A280735 A356073
KEYWORD
nonn
AUTHOR
Jaroslav Krizek, May 31 2010
STATUS
approved