%I A064767
%S A064767 1,168,11232,86016,1488000,1886976,33784128,44040192,221079456,
%T A064767 249984000,2124276000,966131712,9726417792,5675733504,16713216000,
%U A064767 22548578304,111203278848,37141348608,304812862560,127991808000
%N A064767 Order of automorphism group of the group C_n X C_n X C_n (where C_n is 
               the cyclic group of order n).
%C A064767 Also number of 3 X 3 invertible matrices over the ring Z/nZ. - Max Alekseyev, 
               Nov 02 2007
%H A064767 T. D. Noe, <a href="b064767.txt">Table of n, a(n) for n=1..1000</a>
%H A064767 J. Overbey, W. Traves and J. Wojdylo, <a href="http://jeff.over.bz/papers/
               undergrad/on-the-keyspace-of-the-hill-cipher.pdf">On the Keyspace 
               of the Hill Cipher</a>
%F A064767 a(n)=phi(n)*A011785(n). - Vladeta Jovovic (vladeta(AT)eunet.rs), Oct 
               29 2001
%F A064767 a(n) = n^9 * product (1-1/p^3)*(1-1/p^2)*(1-1/p) where the product is 
               over all the primes p that divide n. This also gives a formula for 
               A011785.
%F A064767 Multiplicative with a(p^e) = p^(9*e-6)*(p^3-1)*(p^2-1)*(p-1). - Vladeta 
               Jovovic (vladeta(AT)eunet.rs), Nov 18 2001
%Y A064767 Cf. A000252, A064803, A011785.
%Y A064767 Sequence in context: A003800 A006363 A019286 this_sequence A115222 A035827 
               A075920
%Y A064767 Adjacent sequences: A064764 A064765 A064766 this_sequence A064768 A064769 
               A064770
%K A064767 nonn,easy,mult
%O A064767 1,2
%A A064767 Dan Fux (dan.fux(AT)OpenGaia.com or danfux(AT)OpenGaia.com), Oct 24 2001
%E A064767 More terms from Vladeta Jovovic (vladeta(AT)eunet.rs), Nov 18 2001