x->x*ceiling(x)

[Richard Guy]

~Him' was David Boyd -- sorry I didn't make
that clearer.     R.

On Thu, 29 Aug 2002, John Conway wrote:

> On Thu, 29 Aug 2002, Richard Guy wrote:
> 
> > These are something like what I was calling
> > `pseudo-GPs' and may be connected with PV numbers.
> > I'm copying this message to him in the hope that
> > he can put me right (or wrong!)  R.
> 
>    Dunno who "him" was, but can say I had a similar
> feeling.  What Richard calls "pseudo-GPs" have also
> been called "Pisot sequences", because P raised
> the question whether they all satisfied recurrence
> relations.  
> 
>     Astonishingly many of them do, but it's been
> shown (does anyone know by whom?) that the one that
> starts with  14,23  doesn't.
> 
>     The definition is that the number  c  that follows
> a,b  is the nearest interger to  bb/a.  It doesn't
> matter which nearest integer you take when there are
> two, and wouldn't make much difference if "nearest
> integer" were replaced by "integer part" or whatever.
> 
>     John Conway
> 
>