A011785 - OEIS

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A011785

Number of 3 X 3 matrices whose determinant is 1 mod n.

1, 168, 5616, 43008, 372000, 943488, 5630688, 11010048, 36846576, 62496000, 212427600, 241532928, 810534816, 945955584, 2089152000, 2818572288, 6950204928, 6190224768, 16934047920, 15998976000, 31621943808, 35687836800 (list; graph; refs; listen; history; internal format)

	OFFSET	`1,2`
	LINKS	`T. D. Noe, Table of n, a(n) for n=1..1000`
	FORMULA	`Multiplicative with a(p^e) = p^(8e-5)(p^3-1)(p^2-1). - Vladeta Jovovic (vladeta(AT)eunet.rs), Nov 18 2001` `For a formula see A064767.` `a(n) = A046970(n) A063453(n) * A000578(n) * (A003557(n))^5. - R. J. Mathar, Mar 30 2011`
	CROSSREFS	`Cf. A003800, A064767.` `Sequence in context: A112551 A110075 A003807 * A003800 A006363 A019286` `Adjacent sequences: A011782 A011783 A011784 * A011786 A011787 A011788`
	KEYWORD	`nonn,mult`
	AUTHOR	`benlove(AT)preston.polaristel.net (Benjamin T. Love)`
	EXTENSIONS	`More terms from John W. Layman (layman(AT)math.vt.edu), Feb 16 2001. Further terms from Vladeta Jovovic (vladeta(AT)eunet.rs), Oct 29 2001`

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Last modified February 15 05:45 EST 2012. Contains 205694 sequences.