A134568 - OEIS

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A134568

a(n) = least m such that {-m*r}>{n*r}, where { } denotes fractional part and r = sqrt(2).

1, 5, 1, 3, 1, 1, 5, 1, 3, 1, 1, 29, 1, 5, 1, 3, 1, 1, 5, 1, 3, 1, 1, 17, 1, 5, 1, 3, 1, 1, 5, 1, 3, 1, 1, 5, 1, 3, 1, 1, 29, 1, 5, 1, 3, 1, 1, 5, 1, 3, 1, 1, 17, 1, 5, 1, 3, 1, 1, 5, 1, 3, 1, 1, 5, 1, 3, 1, 1, 169, 1, 5, 1, 3, 1, 1, 5, 1, 3, 1, 1, 29, 1, 5, 1, 3, 1, 1, 5, 1, 3, 1, 1, 17, 1, 5, 1, 3, 1, 1, 5 (list; graph; refs; listen; history; internal format)

	OFFSET	`1,2`
	COMMENTS	`The defining inequality {-mr}<{nr} is equivalent to {mr}+{nr}>1. Are all a(n) in A079496? Are all a(n) denominators of intermediate convergents to sqrt(2)?`
	EXAMPLE	`a(2)=5 because {-mr}<{2r}=.828... for m=1,2,3,4 whereas` `{-5r}=.9289..., so that 5 is the least m for which` `{-mr}>{2*r}.`
	CROSSREFS	`Cf. A134569.` `Sequence in context: A201526 A091384 A011305 * A198798 A121267 A111740` `Adjacent sequences: A134565 A134566 A134567 * A134569 A134570 A134571`
	KEYWORD	`nonn`
	AUTHOR	`Clark Kimberling (ck6(AT)evansville.edu), Nov 02 2007`

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Last modified February 17 04:45 EST 2012. Contains 205984 sequences.