id:A092984 - OEIS Search Results

Search: id:A092984

Displaying 1-1 of 1 results found.

page 1

Least k >1 such that n! + k is square-free.

+0
2

1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 (list; graph; listen)

	OFFSET	`1,4`
	COMMENT	`Conjecture: There exists a finite k such that a(n) < k for all n. Subsidiary sequence: Indices of the first occurrence of n in this sequence. In case the conjecture is true, this sequence would be finite.` `If a(n)=2 ==> n!+1 is divisible by a square (sequence A064237) - Mohammed Bouayoun (bouyao(AT)wanadoo.fr), Mar 29 2004`
	FORMULA	`A092983(n)-n!.`
	EXAMPLE	`a(5) = 2 = 122-120.`
	PROGRAM	`(PARI) a(n)=for(i=1, n!, if(issquarefree(n!+i), return(i)))`
	CROSSREFS	`Cf. A092983.` `Cf. A064237.` `Sequence in context: A152723 A137454 A030613 this_sequence A086600 A025912 A029441` `Adjacent sequences: A092981 A092982 A092983 this_sequence A092985 A092986 A092987`
	KEYWORD	`nonn`
	AUTHOR	`Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Mar 28 2004`
	EXTENSIONS	`More terms from Mohammed Bouayoun (bouyao(AT)wanadoo.fr), Mar 29 2004` `More terms from David Wasserman (dwasserm(AT)earthlink.net), Sep 27 2006`

page 1

Search completed in 0.002 seconds

Last modified December 8 08:31 EST 2009. Contains 170430 sequences.

AT&T Labs Research