id:A003002 - OEIS Search Results

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Size of the largest subset of the numbers [1...n] which doesn't contain a 3-term arithmetic progression.
(Formerly M0275)

+0
6

1, 2, 2, 3, 4, 4, 4, 4, 5, 5, 6, 6, 7, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 10, 10, 11, 11, 11, 11, 12, 12, 13, 13, 13, 13, 14, 14, 14, 14, 15, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 17, 17, 17 (list; graph; listen)

	OFFSET	`1,2`
	COMMENT	`These subsets have been called 3-free sequences.`
	REFERENCES	`S. S. Wagstaff, Jr., On k-free sequences of integers, Math. Comp., 26 (1972), 767-771.`
	CROSSREFS	`Cf. A003003, A003004, A003005, A065825.` `Sequence in context: A029130 A081611 A081228 this_sequence A087180 A029121 A138161` `Adjacent sequences: A002999 A003000 A003001 this_sequence A003003 A003004 A003005`
	KEYWORD	`nonn`
	AUTHOR	`njas`

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Last modified September 7 23:08 EDT 2008. Contains 143486 sequences.

AT&T Labs Research