id:A082544 - OEIS Search Results

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Number of ordered quintuples (a,b,c,d,e) with gcd(a,b,c,d,e)=1 (1<= {a,b,c,d,e} <= n).

+0
1

1, 31, 241, 991, 3091, 7501, 16531, 31711, 57781, 96601, 157651, 240031, 362491, 519961, 739201, 1012441, 1383721, 1822711, 2409241, 3091441, 3966301, 4974751, 6257461, 7680781, 9481681, 11474941, 13916191, 16610371, 19911151, 23435191 (list; graph; listen)

	OFFSET	`1,2`
	FORMULA	`a(n)=sum(k=1, n, mu(k)floor(n/k)^5); a(n) is asymptotic to cn^5 with c=0.9643....`
	PROGRAM	`(PARI) a(n)=sum(k=1, n, moebius(k)*floor(n/k)^5)`
	CROSSREFS	`Cf. A018805 (pairs), A071778 (triples).` `Sequence in context: A075932 A059899 A140846 this_sequence A059378 A024003 A027846` `Adjacent sequences: A082541 A082542 A082543 this_sequence A082545 A082546 A082547`
	KEYWORD	`nonn`
	AUTHOR	`Benoit Cloitre (benoit7848c(AT)orange.fr), May 11 2003`

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Last modified August 19 23:53 EDT 2008. Contains 142930 sequences.

AT&T Labs Research