[seqfan] Re: seqs whose |differences| are 1,2,3,4,...

Robert Munafo mrob27 at gmail.com
Fri Mar 12 00:00:44 CET 2010

On Thu, Mar 11, 2010 at 14:54, Raff, Paul <paul at myraff.com> wrote:

> I believe Bob is starting at zero, and I am starting at one.
>                   [paul]

It's Robert.

And yes, Paul, your sequence seems to be the same except that each term is
one bigger. Given the existence of A005132 and A118201 and the discussion by
others I believe that starting at zero is a little better.

Notice A063733 and A078943 -- those entries have related definitions, but
have not been developed as far (fewer terms, fewer descriptions and
references, etc). More importantly, both have a repeated 1 at the beginning
which goes against the whole "bijection" idea.

NJAS's initial statement referred to "natural numbers", usage of which is
ambiguous (Mathworld suggests "positive" or "nonnegative" integers).

On Thu, Mar 11, 2010 at 2:50 PM,  <franktaw at netscape.net> wrote:
>  >  From the descriptions, these sequences should be identical.  I'd like
> > to see both of them to see where and why they are different.
> >
> > Franklin T. Adams-Watters
> >
> > -----Original Message-----
> > From: Robert Munafo <mrob27 at gmail.com>
> > ...
> >
> > I also get a 2*3^k "gap" size (I called them "clumps of holes", but
> > it's the
> > same thing) but I differ on what the actual "gaps" are. You got 15-20,
> > I got
> > 14-19; instead of 45-62 I got 44-61, and so on.

 Robert Munafo  --  mrob.com

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