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Search: id:A064767
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| A064767 |
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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). |
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+0
12
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| 1, 168, 11232, 86016, 1488000, 1886976, 33784128, 44040192, 221079456, 249984000, 2124276000, 966131712, 9726417792, 5675733504, 16713216000, 22548578304, 111203278848, 37141348608, 304812862560, 127991808000
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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Also number of 3 X 3 invertible matrices over the ring Z/nZ. - Max Alekseyev, Nov 02 2007
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LINKS
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T. D. Noe, Table of n, a(n) for n=1..1000
J. Overbey, W. Traves and J. Wojdylo, On the Keyspace of the Hill Cipher
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FORMULA
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a(n)=phi(n)*A011785(n). - Vladeta Jovovic (vladeta(AT)eunet.rs), Oct 29 2001
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.
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
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CROSSREFS
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Cf. A000252, A064803, A011785.
Adjacent sequences: A064764 A064765 A064766 this_sequence A064768 A064769 A064770
Sequence in context: A003800 A006363 A019286 this_sequence A115222 A035827 A075920
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KEYWORD
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nonn,easy,mult
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AUTHOR
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Dan Fux (dan.fux(AT)OpenGaia.com or danfux(AT)OpenGaia.com), Oct 24 2001
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EXTENSIONS
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More terms from Vladeta Jovovic (vladeta(AT)eunet.rs), Nov 18 2001
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