id:A116084 - OEIS Search Results

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Number of partitions of 1 into distinct fractions i/j with 1<=i<j<=n and i,j coprime.

+0
3

0, 0, 1, 2, 4, 6, 10, 15, 23, 36, 47, 70, 87, 132, 283, 434, 471, 772, 825, 1834, 4368, 5545, 5648 (list; graph; listen)

	OFFSET	`1,4`
	COMMENT	`A116085(n) = a(n+1) - a(n).`
	EXAMPLE	`a(4) = #{1/3+2/3, 1/4+3/4} = 2;` `a(5) = a(4) + #{1/5+4/5, 2/5+3/5} = 2 + 2 = 4;` `a(6) = a(5) + #{1/6+5/6, 1/6+1/3+1/2} = 4 + 2 = 6.`
	CROSSREFS	`Cf. A115855, A000009, A038566, A038567.` `Adjacent sequences: A116081 A116082 A116083 this_sequence A116085 A116086 A116087` `Sequence in context: A035294 A073818 A143184 this_sequence A108925 A120549 A060168`
	KEYWORD	`nonn`
	AUTHOR	`Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Feb 04 2006`

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Last modified October 13 20:18 EDT 2008. Contains 145016 sequences.