[seqfan] Re: Paper of Berlekamp and Graham

[Max Alekseyev]

Hi David,

I think the best way to detect a source of misunderstanding is to see
your proof of s(1)=18.

P.S. For those who interested, the paper is freely available at
http://www.math.ucsd.edu/~ronspubs/70_01_irregularities.pdf

Regards,
Max

On Mon, Jul 2, 2012 at 7:38 AM, David Newman <davidsnewman at gmail.com> wrote:
> Has any among you read a paper called "Irregularities in the Distributions
> of Finite Sequences" by Berlekamp and Graham, Journal of Number Theory 2,
> 152-161 (1970) ?
>
> They define a number s(d) for non-negative integers.  I'm having trouble
> understanding this definition.  It is proved that s(0) =17, (this is the
> answer to a famous problem by Hugo Steinhaus) but no other values of s(d)
> are thought to be known.  The way I understand the definition it seems that
> s(d) should be d+17, but this can't be right, it is too simple.
>
> Is there anyone out there who can help me out?
>
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