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%I #21 Jul 31 2019 11:24:09
%S 1,2,9,32,625,648,117649,131072,4782969,12500000,25937424601,
%T 214990848,23298085122481,1771684761728,14416259765625,
%U 562949953421312,48661191875666868481,11712917736940032,104127350297911241532841,5120000000000000000,7788651757984142343081
%N Product of the orders of the elements in a cyclic group with n elements.
%H Amiram Eldar, <a href="/A056916/b056916.txt">Table of n, a(n) for n = 1..388</a>
%F a(n) = Product_{ d divides n } d^phi(d). - _Vladeta Jovovic_, Sep 10 2004
%p a:=n->mul(denom (k/n), k=1..n): seq(a(n), n=1..18); # _Zerinvary Lajos_, Apr 26 2008
%t Table[Product[n/GCD[n,i],{i,0,n-1}],{n,30}] (* _Harvey P. Dale_, Oct 24 2011 *)
%Y Cf. A057660.
%Y Cf. A067911, A071248.
%K nonn,nice
%O 1,2
%A Sharon Sela (sharonsela(AT)hotmail.com), Feb 10 2002
%E Edited by _Dean Hickerson_, Mar 04 2002
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