[seqfan] Re: A063116

David Radcliffe dradcliffe at gmail.com
Wed Aug 21 23:12:05 CEST 2019


The hostname modular.math.washington.edu should be replaced with wstein.org.
There are quite a few OEIS entries that refer to the old hostname.

On Wed, Aug 21, 2019 at 2:57 PM Neil Sloane <njasloane at gmail.com> wrote:

> You said:
>
> "“Dimension of the space of weight 2n cusp forms for Gamma_0(48).”
>
> (which means nothing to me...)."
>
> Sorry to hear that!
>
> Cusp forms are an important subject in number theory.  Part of the theory
> of modular forms.
> There are a huge number of books.  You might start by reading Gunning's
> little Princeton book.
> It will change your life.  The subject is sometimes referred to as a
> fairyland of mathematics (with good reason).
>
> There are also about 500 other sequences that mention cusp forms.
>
>
>
> Best regards
> Neil
>
> Neil J. A. Sloane, President, OEIS Foundation.
> 11 South Adelaide Avenue, Highland Park, NJ 08904, USA.
> Also Visiting Scientist, Math. Dept., Rutgers University, Piscataway, NJ.
> Phone: 732 828 6098; home page: http://NeilSloane.com
> Email: njasloane at gmail.com
>
>
>
> On Wed, Aug 21, 2019 at 3:39 PM David Sycamore via SeqFan <
> seqfan at list.seqfan.eu> wrote:
>
> > Hello Seqfans,
> >
> > The Name of the above sequence says:
> >
> > “Dimension of the space of weight 2n cusp forms for Gamma_0(48).”
> >
> > (which means nothing to me...).
> >
> > Data: 3,18,34,66,82,98,114,130,146,162....
> >
> > Can anyone please explain what is meant by the Name? There is a link
> > entitled “Dimensions of the spaces S_k(Gamma_0(N))” but it leads to a
> > message saying “Sorry, the website....cannot be found”. Also there are no
> > Comments or examples given.
> >
> > A formula a(n)=2(8n-7) is conjectured, which seems to work.
> >
> > Unless I am mistaken another possible formula for these terms could be:
> >
> > a(n)= A(B(n-1)+1) - A(B(n-2)+1) , for n>1
> >
> > Where A is A000217 and B is A016813.
> >
> > Any explanation or comments?
> >
> > Cheers,
> >
> > David.
> >
> >
> >
> >
> > --
> > Seqfan Mailing list - http://list.seqfan.eu/
> >
>
> --
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>



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