[seqfan] Re: Seqs needing more terms; Like OEIS; San Diego 2013

Neil Sloane njasloane at gmail.com
Mon Jun 4 05:39:51 CEST 2012


PS

Benoit, you said:

The 12 extra partitions we don't get are the ones
containing either 6 or 7 or 8 or 9 or 10.
This leads to the observation
a000041(2n) - a002219(n) >= sum_{k=0..n-1} a000041(k).

Me: I don't think that tells the full story - we are also missing partitions
like 2^5.

Neil

On Sun, Jun 3, 2012 at 11:09 PM, Benoît Jubin <benoit.jubin at gmail.com>wrote:

> In your comment of A002219, you write that we get all but 5 partitions
> of 10 (of which you say there are 30). Maybe you use another
> convention, but to me we get all but 17 partitions of 10, of which
> there are 42. The 12 extra partitions we don't get are the ones
> containing either 6 or 7 or 8 or 9 or 10.
> This leads to the observation
> a000041(2n) - a002219(n) >= sum_{k=0..n-1} a000041(k)
> (and the two sides of this inequality could themselves be added to the
> OEIS).
>
> Also, A002219--A002222(0) = A064914(0) = 1.
>
> Benoît
>
>
> On Sun, Jun 3, 2012 at 7:41 PM, Neil Sloane <njasloane at gmail.com> wrote:
> > Dear Seq Fans, 3 items:
> >
> > A002219 could use a b-file and A002220-A002222 need more terms (I just
> found
> > the 1970 paper that I took them from back in the punched card days). It
> > seems
> > that no g.f. or recurrence is known, which is an interesting question.
> >
> > The OEIS has a new Facebook page, http://www.facebook.com/OEISF, where
> you
> > can "Like" us
> >
> > The OEIS will have a booth at the big Amer Math Soc meeting in San Diego,
> > Jan 9-12, 2013
> > (this is probably our best opportunity for fundraising in the whole
> year).
> > Tony Noe
> > and I will be there and probably many other sequence lovers. Here is what
> > Tony said: "Our booth will consist of (a fairly standard) black 8x10
> > Skyline display. If you have suggestions about what we should display,
> > please forward your
> > ideas to Neil or me. I know January sounds like a long time in the
> future,
> > but it will be here
> > before we know it.  For northern hemisphere residents, San Diego can be a
> > nice respite from Winter.  I know that I am looking forward to it!" We
> > could also use help - even a few hours -
> > in manning the booth.
> >
> > Neil
> >
> > _______________________________________________
> >
> > Seqfan Mailing list - http://list.seqfan.eu/
>
> _______________________________________________
>
> Seqfan Mailing list - http://list.seqfan.eu/
>



-- 
Dear Friends, I have now retired from AT&T. New coordinates:

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



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