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

Benoît Jubin benoit.jubin at gmail.com
Mon Jun 4 05:09:57 CEST 2012

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.


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
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