id:A134569 - OEIS Search Results

Search: id:A134569

Displaying 1-1 of 1 results found.

page 1

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

+0
2

2, 1, 2, 1, 12, 2, 1, 2, 1, 7, 2, 1, 2, 1, 2, 1, 12, 2, 1, 2, 1, 7, 2, 1, 2, 1, 2, 1, 70, 2, 1, 2, 1, 12, 2, 1, 2, 1, 7, 2, 1, 2, 1, 2, 1, 12, 2, 1, 2, 1, 7, 2, 1, 2, 1, 2, 1, 41, 2, 1, 2, 1, 12, 2, 1, 2, 1, 7, 2, 1, 2, 1, 2, 1, 12, 2, 1, 2, 1, 7, 2, 1, 2, 1, 2, 1, 12, 2, 1, 2, 1, 7, 2, 1, 2, 1, 2, 1, 70, 2 (list; graph; listen)

	OFFSET	`1,1`
	COMMENT	`The defining inequality {-mr}>{nr} is equivalent to {mr}+{nr}<1. Are all a(n) in A084068? Are all a(n) denominators of intermediate convergents to sqrt(2)?`
	EXAMPLE	`a(3)=2 because {-mr}<{3r}=.2426... for m=1 whereas` `{-2r}=.1715..., so that 2 is the least m for which` `{-mr}<{3*r}.`
	CROSSREFS	`Cf. A134568.` `Sequence in context: A097749 A126906 A134304 this_sequence A072883 A093101 A082469` `Adjacent sequences: A134566 A134567 A134568 this_sequence A134570 A134571 A134572`
	KEYWORD	`nonn`
	AUTHOR	`Clark Kimberling (ck6(AT)evansville.edu), Nov 02 2007`

page 1

Search completed in 0.002 seconds

Last modified December 15 00:47 EST 2009. Contains 170825 sequences.

AT&T Labs Research