login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A134569 a(n) = least m such that {-m*r} < {n*r}, where { } denotes fractional part and r = sqrt(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, 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; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

The defining inequality {-m*r} > {n*r} is equivalent to {m*r} + {n*r} < 1. Are all a(n) in A084068? Are all a(n) denominators of intermediate convergents to sqrt(2)?

LINKS

Table of n, a(n) for n=1..100.

EXAMPLE

a(3)=2 because {-m*r} < {3*r} = 0.2426... for m=1 whereas

{-2*r} = 0.1715..., so that 2 is the least m for which

{-m*r} < {3*r}.

CROSSREFS

Cf. A134568.

Sequence in context: A179508 A134304 A211096 * A295853 A287541 A288196

Adjacent sequences:  A134566 A134567 A134568 * A134570 A134571 A134572

KEYWORD

nonn

AUTHOR

Clark Kimberling, Nov 02 2007

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified May 9 20:59 EDT 2021. Contains 343746 sequences. (Running on oeis4.)