A011786 - OEIS

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A011786

Number of 4 X 4 matrices whose determinant is 1 mod n.

1, 20160, 12130560, 660602880, 29016000000, 244552089600, 4635182361600, 21646635171840, 174060277297920, 584962560000000, 4139330225184000, 8013482872012800, 50858076935877120, 93445276409856000 (list; graph; refs; listen; history; internal format)

	OFFSET	`1,2`
	LINKS	`T. D. Noe, Table of n, a(n) for n=1..1000`
	FORMULA	`a(n) = n^16/phi(n) * product (1-1/p^4)(1-1/p^3)(1-1/p^2)(1-1/p) where the product is over all the primes p that divide n. Multiplicative with a(p^e) = p^(15e-9)(p^4-1)(p^3-1)*(p^2-1). - Vladeta Jovovic (vladeta(AT)eunet.rs), Nov 18 2001`
	CROSSREFS	`Cf. A000056, A011785, A000252, A064767.` `Sequence in context: A190474 A109479 A003808 * A003801 A181233 A119648` `Adjacent sequences: A011783 A011784 A011785 * A011787 A011788 A011789`
	KEYWORD	`nonn,mult`
	AUTHOR	`benlove(AT)preston.polaristel.net (Benjamin T. Love)`
	EXTENSIONS	`More terms from Vladeta Jovovic (vladeta(AT)eunet.rs), Nov 18 2001`

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Last modified February 17 13:06 EST 2012. Contains 206025 sequences.