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
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.
