A120243 - OEIS

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A120243

Numbers n such that {rn}<=c, where r=2^(1/2), c=1/2 and { } denotes fractional part.

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	OFFSET	`1,2`
	COMMENTS	`The complement of a is b=A120749. Is a(n)<b(n) for all n? If k is a positive integer, then is b(n)-a(n)=k for infinitely many n?`
	EXAMPLE	`{r}={1.4142...}=0.4142... <1/2, so a(1)=1` `{2r}=0.828... >1/2, so b(1)=2, where b = complement of a` `{3r}=0.242... <1/2, so a(2)=3.`
	CROSSREFS	`Cf. A120749, A120750, A120751.` `Sequence in context: A191777 A190192 A187977 * A084810 A014254 A131422` `Adjacent sequences: A120240 A120241 A120242 * A120244 A120245 A120246`
	KEYWORD	`nonn`
	AUTHOR	`Clark Kimberling (ck6(AT)evansville.edu), Jul 01 2006`

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Last modified February 15 23:53 EST 2012. Contains 205860 sequences.