#18565: sequences in SageMath
-------------------------------------+-------------------------------------
       Reporter:  dkrenn             |        Owner:
           Type:  enhancement        |       Status:  new
       Priority:  major              |    Milestone:  sage-6.8
      Component:  combinatorics      |   Resolution:
       Keywords:                     |    Merged in:
        Authors:  Daniel Krenn       |    Reviewers:
Report Upstream:  N/A                |  Work issues:
         Branch:                     |       Commit:
  u/dkrenn/sequences/base            |  fa5c40a727f7149fee86e893fc52f27455622929
   Dependencies:  #19896             |     Stopgaps:
-------------------------------------+-------------------------------------
Changes (by dkrenn):

 * dependencies:   => #19896


Old description:

> similar to
> {{{
>     graphs.some_graph
> }}}
> or to
> {{{
>     codes.some_code
> }}}
> (and similar), I propose to introduce
> {{{
>     sequences.some_sequence
> }}}
> which should provide a unified access point to all possible sequences in
> !SageMath. For example, there is {{{fibonacci_sequence}}} in
> {{{sage.combinat.combinat}}}, {{{binary_recurring_sequence}}} (somewhere
> in combinat) and various other code.
>
> One motivation for creating this, is to include here many sequences,
> which can be calculated term-by-term (from the previously calculated
> ones, i.e., recursively) or where the first N terms can be calculated at
> once efficiently.
> Nevertheless, it can also provide an interface to sequences, where each
> term can be calculated explicitly (without dealing with the previous
> ones).
>
> See the discussion on [[https://groups.google.com/forum/#!topic/sage-
> devel/L-wSCu4fXe8|sage-devel]]

New description:

 similar to
 {{{
     graphs.some_graph
 }}}
 or to
 {{{
     codes.some_code
 }}}
 (and similar), I propose to introduce
 {{{
     sequences.some_sequence
 }}}
 which should provide a unified access point to all possible sequences in
 !SageMath. For example, there is {{{fibonacci_sequence}}} in
 {{{sage.combinat.combinat}}}, {{{binary_recurring_sequence}}} (somewhere
 in combinat) and various other code.

 This will use homogenous sequences (#19896), which them-self use lazy
 lists.

 See also the meta-ticket #16107.

 ---
 Old: See the discussion on [[https://groups.google.com/forum/#!topic/sage-
 devel/L-wSCu4fXe8|sage-devel]]

--

--
Ticket URL: <http://trac.sagemath.org/ticket/18565#comment:12>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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