Hi Samuel, thank you for all the links!
Best regards, Simon On 2018-12-07, slelievre <samuel.lelie...@gmail.com> wrote: > Fri 2018-12-07 13:56:34 UTC+1, Simon King: > >> Let x_0 be given, let f be a function defining a sequence (x_0,x_1,...) >> recursively by x_{n+1}=f(x_n). >> >> Is there a tool in Sage that can (at least in sufficiently simple cases) >> deduce a closed formula for x_n? I tried search_def('recurs'), but it >> revealed nothing I could recognise. > > There's competition between the words "recursion" and "recurrence", > you might have had more luck with "recurr". > > This should be possible using either SymPy, or FriCAS, > or the optional "Ore algebra" package: > > http://www.kauers.de/software.html > https://github.com/mkauers/ore_algebra/ > > Some related discussions can be found through the following queries: > > - > https://groups.google.com/forum/#!searchin/sage-devel/ore_algebra%7Csort:date > - > https://groups.google.com/forum/#!searchin/sage-support/ore_algebra%7Csort:date > - > https://ask.sagemath.org/questions/scope:all/sort:activity-desc/page:1/query:ore_algebra/ > - https://trac.sagemath.org/query?order=id&desc=1&summary=~ore_a > > To highlight some relevant results from sage-devel and sage-support: > > - sage-devel, 2016-11 > Recurrences and Sequence Formula Guessing Functions in Sage > https://groups.google.com/d/topic/sage-devel/FfJrjaSdkF8/discussion > > - sage-support, 2014-09 > Formula for simple recursive sequences > https://groups.google.com/d/topic/sage-support/tTqX2BCzjgY/discussion > > - sage-devel, 2014-01 > class LinearRecurrence > https://groups.google.com/d/topic/sage-devel/PTx12wrVG0c/discussion > > - sage-devel, 2013-06 > New ore_algebra Sage package is available > https://groups.google.com/d/topic/sage-devel/S7Wv67C6DvE/discussion > -- You received this message because you are subscribed to the Google Groups "sage-support" group. To unsubscribe from this group and stop receiving emails from it, send an email to sage-support+unsubscr...@googlegroups.com. To post to this group, send email to sage-support@googlegroups.com. Visit this group at https://groups.google.com/group/sage-support. For more options, visit https://groups.google.com/d/optout.