id:A004709 - OEIS Search Results

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Cube-free numbers (not divisible by any cube > 1).

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25

1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 17, 18, 19, 20, 21, 22, 23, 25, 26, 28, 29, 30, 31, 33, 34, 35, 36, 37, 38, 39, 41, 42, 43, 44, 45, 46, 47, 49, 50, 51, 52, 53, 55, 57, 58, 59, 60, 61, 62, 63, 65, 66, 67, 68, 69, 70, 71, 73, 74, 75, 76, 77, 78, 79, 82, 83, 84, 85 (list; graph; listen)

	OFFSET	`1,2`
	COMMENT	`Numbers n such that no smaller number m satisfies kronecker(n,k)=kronecker(m,k) for all k. - Michael Somos Sep 22 2005`
	LINKS	`Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics.`
	PROGRAM	`(PARI) {a(n)= local(m, c); if(n<2, n==1, c=1; m=1; while( c<n, m++; if( 3>vecmax(factor(m)[, 2]), c++)); m)} /* Michael Somos Sep 22 2005 */`
	CROSSREFS	`Cf. A005117 Square-free numbers, A067259 Cube-free numbers which are not square-free, A046099 Cubeful numbers.` `Sequence in context: A043093 A023802 A007915 this_sequence A048107 A078129 A003796` `Adjacent sequences: A004706 A004707 A004708 this_sequence A004710 A004711 A004712`
	KEYWORD	`nonn,easy`
	AUTHOR	`Steven.Finch(AT)inria.fr (S. R. Finch)`

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Last modified July 24 12:00 EDT 2008. Contains 142294 sequences.

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