id:A063677 - OEIS Search Results

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Size of largest subset of {A063676(1), ......., A063676(n)} with an integer arithmetic mean.

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1, 1, 2, 3, 5, 5, 6, 7, 9, 9, 10, 11, 12, 14, 14, 14, 16, 17, 17, 19, 21, 21, 21, 23, 24, 26, 26, 27, 27, 29, 29, 31, 32, 34, 34, 35, 36, 36, 37, 39, 39, 40, 42, 42, 43, 44, 46, 47, 48, 49, 49, 51, 51, 53, 53, 55, 56, 57, 58, 58, 60, 61, 62, 63, 64, 65, 65, 67, 68, 68, 69, 71 (list; graph; listen)

	OFFSET	`1,3`
	COMMENT	`0 <= n - a(n) <= 2, checked until n = 117 (true for all n?)`
	EXAMPLE	`The arithmetic mean of the first 7 A063676-elements is (1 + 2 + 4 + 7 + 11 + 16 + 24) / 7 = 65 / 7 which is not an integer; but skipping A063676(5) = 11 yields m = 54 / 6 = 9, so we have A063676(8) = A063676(7)+ m = 24 + 9 = 33 and a(7) = #{1, 2, 4, 7, 16, 24} = 6.`
	CROSSREFS	`A063676.` `Sequence in context: A003660 A111164 A029910 this_sequence A078903 A079228 A067535` `Adjacent sequences: A063674 A063675 A063676 this_sequence A063678 A063679 A063680`
	KEYWORD	`nonn`
	AUTHOR	`Reinhard Zumkeller (reinhard.zumkeller(AT)lhsystems.com), Jul 28 2001`

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Last modified July 26 13:41 EDT 2008. Contains 142293 sequences.

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