id:A123313 - OEIS Search Results

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Maximum of greatest common divisors of pairs of distinct squarefree numbers not greater than n; a(1)=1.

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1, 1, 1, 1, 3, 3, 5, 5, 5, 7, 7, 7, 7, 7, 11, 11, 13, 13, 15, 15, 15, 17, 17, 17, 19, 19, 19, 21, 21, 23, 23, 23, 23, 23, 23, 29, 29, 29, 31, 31, 33, 33, 33, 35, 35, 35, 37, 37, 39, 39, 41, 41, 41, 43, 43, 43, 43, 43, 47, 47, 47, 47, 51, 51, 51, 53, 53, 53, 55, 55, 55, 57, 57, 59 (list; graph; listen)

	OFFSET	`1,5`
	COMMENT	`A123314(n) = #{k: a(k) = A005117(n)}.`
	LINKS	`R. Zumkeller, Table of n, a(n) for n = 1..10000` `Eric Weisstein's World of Mathematics, Squarefree` `Ind ex entries for sequences related to GCD's.`
	FORMULA	`a(n) = Max(a(n-1), Max(GCD(A005117(n), A005117(k)): 1<=k<n).`
	CROSSREFS	`Sequence in context: A129972 A130829 A035158 this_sequence A131507 A075260 A054847` `Adjacent sequences: A123310 A123311 A123312 this_sequence A123314 A123315 A123316`
	KEYWORD	`nonn`
	AUTHOR	`Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Sep 25 2006`

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Last modified November 23 17:09 EST 2009. Contains 167438 sequences.

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