[seqfan] Re: Definition of A052130; question about Beatty sequences.

Neil Sloane njasloane at gmail.com
Sun Apr 5 16:56:37 CEST 2015


Ed, I have notes on properties of Beatty sequences, which
I will try to find after Easter is over...

Best regards
Neil

Neil J. A. Sloane, President, OEIS Foundation.
11 South Adelaide Avenue, Highland Park, NJ 08904, USA.
Also Visiting Scientist, Math. Dept., Rutgers University, Piscataway, NJ.
Phone: 732 828 6098; home page: http://NeilSloane.com
Email: njasloane at gmail.com


On Sat, Apr 4, 2015 at 10:23 PM, L. Edson Jeffery <lejeffery2 at gmail.com>
wrote:

> Can someone please explain why the condition "For m very large" is required
> in the definition (%N) of A052130 (https://oeis.org/A052130)?
>
> For adjacent terms in a Beatty sequence, are there always only two distinct
> first differences, and is there a formula for determining the maximum
> distance between adjacent terms?
>
> Ed Jeffery
>
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