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Search: id:A065498
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| A065498 |
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Number of invertible n X n matrices mod 6 (i.e. over the ring Z_6). |
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+0
2
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| 1, 2, 288, 1886976, 489104179200, 4755360379856486400, 1695944421638473850132889600, 21967113634648374162210646578639667200, 10286692771039109536373764545035369981946101760000
(list; graph; listen)
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OFFSET
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0,2
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LINKS
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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) = 6^(n^2) * product k=1..n ((1 - 1/2^k)(1 - 1/3^k))
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MATHEMATICA
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a[n_] := 6^(n^2)*Product[(1 - 1/2^k)*(1 - 1/3^k), { k, 1, n} ]; Table[ a[n], {n, 1, 9} ]
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CROSSREFS
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Cf. A065128.
Sequence in context: A093938 A080296 A163276 this_sequence A057746 A132518 A142800
Adjacent sequences: A065495 A065496 A065497 this_sequence A065499 A065500 A065501
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KEYWORD
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nonn
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AUTHOR
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Dan Fux (dan.fux(AT)OpenGaia.com or danfux(AT)OpenGaia.com), Nov 25 2001
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EXTENSIONS
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More terms from Robert G. Wilson v (rgwv(AT)rgwv.com), Nov 28 2001
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