On Sat, Nov 19, 2016 at 02:31:42PM -0500, David Roe wrote:
> Another thing that might be nice to tie in is the Online Encyclopedia of
> Integer Sequences. Or at least include a link in the documentation, though
> most people looking to guess a sequence will already be aware of OEIS.
> David
sage: oeis?
> On Sat, Nov 19, 2016 at 2:00 PM, Fredrik Johansson <
> fredrik.johans...@gmail.com> wrote:
>
> >
> >
> > On Saturday, November 19, 2016 at 4:56:42 PM UTC+1, Maxie Schmidt wrote:
> >>
> >> Hello,
> >>
> >> I have been working back and forth between Sage and Mathematica for a
> >> while now trying to learn how to use Sage to replace Mathematica's core
> >> functionality in my day to day use of it. One of the (sets of) functions
> >> haven't yet found a suitable open source alternative for is related to
> >> guessing formulas and generating functions for an input sequence (as in
> >> Mathematica's FindSequenceFunction and FindGeneratingFunction). Related
> >> functions are Mathematica's RSolve (https://reference.wolfram.com
> >> /language/ref/RSolve.html?q=RSolve) used to solve recurrence relations
> >> in closed-form formulas, and the closed-source RISC Sigma package (
> >> https://www.risc.jku.at/research/combinat/risc/software/Sigma/index.php)
> >> which is able to generate recurrences for many sums and simplify sums
> >> involving harmonic numbers.
> >>
> >> The closest open source alternative I have come across so far is Rubey's
> >> software written in FriCAS described at http://axiom-wiki.newsynthesis
> >> .org/GuessingFormulasForSequences. However, looking at the source code
> >> for the package leaves quite a bit of work to do to reproduce the output of
> >> the Mathematica functions mentioned above. Is there a better open source
> >> alternative to the Mathematica functions FindSequenceFunction and RSolve
> >> that I'm missing in Sage?
> >>
> >> If there isn't a good complete replacement for using Mathematica's
> >> routines for sequence formula guessing and solving recurrences, I'm
> >> interested in trying to write functions / packages that will replace
> >> Mathematica for these tasks. I have already done some work in Sage related
> >> to guessing formulas for special polynomial sequences in my Master's thesis
> >> at UIUC posted at https://arxiv.org/abs/1609.07301. Any suggestions or
> >> links to related open source software are appreciated.
> >>
> >>
> > Open source alternatives to Mathematica would be most welcome.
> >
> > The ore_algebra package allows guessing holonomic sequences (
> > http://www.risc.jku.at/research/combinat/software/
> > ore_algebra/doc/guessing.html) but there is nothing in Sage for closed
> > forms, Stirling-type sequences or multi-sums as far as I know.
> >
> > Fredrik
> >
> > --
> > You received this message because you are subscribed to the Google Groups
> > "sage-devel" group.
> > To unsubscribe from this group and stop receiving emails from it, send an
> > email to sage-devel+unsubscr...@googlegroups.com.
> > To post to this group, send email to sage-devel@googlegroups.com.
> > Visit this group at https://groups.google.com/group/sage-devel.
> > For more options, visit https://groups.google.com/d/optout.
> >
>
> --
> You received this message because you are subscribed to the Google Groups
> "sage-devel" group.
> To unsubscribe from this group and stop receiving emails from it, send an
> email to sage-devel+unsubscr...@googlegroups.com.
> To post to this group, send email to sage-devel@googlegroups.com.
> Visit this group at https://groups.google.com/group/sage-devel.
> For more options, visit https://groups.google.com/d/optout.
--
You received this message because you are subscribed to the Google Groups
"sage-devel" group.
To unsubscribe from this group and stop receiving emails from it, send an email
to sage-devel+unsubscr...@googlegroups.com.
To post to this group, send email to sage-devel@googlegroups.com.
Visit this group at https://groups.google.com/group/sage-devel.
For more options, visit https://groups.google.com/d/optout.
