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A062981 n^phi(n). 2
1, 2, 9, 16, 625, 36, 117649, 4096, 531441, 10000, 25937424601, 20736, 23298085122481, 7529536, 2562890625, 4294967296, 48661191875666868481, 34012224, 104127350297911241532841, 25600000000, 7355827511386641 (list; graph; refs; listen; history; internal format)
OFFSET

1,2

LINKS

T. D. Noe, Table of n, a(n) for n=1..100

B. A. Harrison, On the reducibility of cyclotomic polynomials over finite fields, Am. Math. Monthly 114 (9) (2007) 813-818

FORMULA

a(n) = A001783(n) / (Product_{d|n} (d!/d^d)^A008683(n/d)) = (Product_{GCD(k, n)=1} k) / (Product_{d|n} (d!/d^d)^A008683(n/d)) = A175504(n) * n. [From Jaroslav Krizek (jaroslav.krizek(AT)atlas.cz), May 31 2010]

MAPLE

A062981 := proc(n)

        n^numtheory[phi](n) ;

end proc:

seq(A062981(n), n=1..20) ; # R. J. Mathar, Oct 15 2011

PROG

(PARI) { for (n=1, 100, write("b062981.txt", n, " ", n^eulerphi(n)) ) } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Aug 14 2009]

CROSSREFS

Cf. A000010, A004124, A193679.

Sequence in context: A078707 A085332 A204424 * A069622 A200944 A137189

Adjacent sequences:  A062978 A062979 A062980 * A062982 A062983 A062984

KEYWORD

nice,nonn

AUTHOR

Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Jul 24 2001

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Last modified February 15 10:06 EST 2012. Contains 205763 sequences.