id:A079353 - OEIS Search Results

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Numbers n such that the best rational approximation to H(n) with denominator <=n is an integer, where H(n) denotes the n-th harmonic number (A001008/A002805).

+0
3

1, 3, 4, 10, 11, 30, 31, 82, 83, 226, 227, 615, 616, 1673, 1674 (list; graph; listen)

	OFFSET	`1,2`
	EXAMPLE	`H(11)=83711/27720 and the best approximation to H(11) among the fractions of form k/11, k>=0, is 33/11=3, an integer. Hence 11 is in the sequence.`
	CROSSREFS	`Sequence in context: A047341 A091910 A131179 this_sequence A135116 A050187 A101506` `Adjacent sequences: A079350 A079351 A079352 this_sequence A079354 A079355 A079356`
	KEYWORD	`nonn`
	AUTHOR	`Benoit Cloitre (benoit7848c(AT)orange.fr), Feb 14 2003`

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.

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