A095996 - OEIS

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A095996

a(n) = largest divisor of n! that is coprime to n.

1, 1, 2, 3, 24, 5, 720, 315, 4480, 567, 3628800, 1925, 479001600, 868725, 14350336, 638512875, 20922789888000, 14889875, 6402373705728000, 14849255421, 7567605760000, 17717861581875, 1124000727777607680000, 2505147019375 (list; graph; refs; listen; history; internal format)

	OFFSET	`1,3`
	FORMULA	`a(p) = (p-1)!`
	MATHEMATICA	`f[n_] := Select[Divisors[n! ], GCD[ #, n] == 1 &][[ -1]]; Table[f[n], {n, 30}]`
	CROSSREFS	`a(n) = n!/A051696(n) = (n-1)!/A062763(n).` `Cf. A036503. [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Dec 15 2008]` `Sequence in context: A030418 A037277 A001783 * A061098 A160630 A119619` `Adjacent sequences: A095993 A095994 A095995 * A095997 A095998 A095999`
	KEYWORD	`nonn`
	AUTHOR	`Robert G. Wilson v (rgwv(AT)rgwv.com), Jul 19 2004, based on a suggestion from Leroy Quet, Jun 18 2004`

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Last modified February 15 11:21 EST 2012. Contains 205777 sequences.