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A065499
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Noninvertible 3 X 3 matrices over Z_n.
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1
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0, 344, 8451, 176128, 465125, 8190720, 6569479, 90177536, 166341033, 750016000, 233671691, 4193648640, 878081581, 14985313280, 21730143375, 46170898432, 7384597649, 161217941760, 17874835219, 384008192000, 414816720885
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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LINKS
| T. D. Noe, Table of n, a(n) for n=1..1000
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FORMULA
| a(n) = n^9 - A064767(n) = n^9 - 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.
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MATHEMATICA
| f[n_] := (g = First[ Transpose[ FactorInteger[n]]]; n^9*(1 - Apply[ Times, 1 - 1/g] Apply[ Times, 1 - 1/g^2] Apply[ Times, 1 - 1/g^3])); Table[ f[n], {n, 1, 22} ]
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CROSSREFS
| Cf. A064767, A020479, A000252.
Sequence in context: A183674 A186935 A115221 * A183673 A185746 A202904
Adjacent sequences: A065496 A065497 A065498 * A065500 A065501 A065502
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KEYWORD
| nonn
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AUTHOR
| Dan Fux (dan.fux(AT)OpenGaia.com or danfux(AT)OpenGaia.com), Nov 25 2001
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EXTENSIONS
| More terms from Robert G. Wilson v (rgwv(AT)rgwv.com), Nov 30 2001
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