On Mon, Jun 1, 2015 at 2:49 AM, Daniel Krenn <kr...@aon.at> wrote:
> Dear all,
>
> 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.


Also there is sloane.[tab] with sloane sequences....

>
> 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).
>
> This posting is to discuss this new feature at this early stage (see
> trac ticket #18565 [1] for a draft).
>
> - In this draft, all sequences are iterator/generator expressions
> (finite or maybe infinite). This is to keep it simple. [*]
> What do you think about this?
>
> - At the moment this module is in sage.combinat. Another option would be
> to create sage.sequences and put it there. Any opinions on this?
>
> - In the trac ticket, the function fibonacci_sequence will be
> deprecated, since this is then sequence.fibonacci(...). I am also happy
> not to deprecate it and keep it as it is (only changing the code to
> avoid code duplication)
>
> - I found a function fibonacci_xrange. It is completly unclear (to me)
> from the name, what this function does (in particular, why "xrange" (and
> not a simple "range"). For this reason, I propose to deprecate this
> function (an alternative with the new sequences-interface is provided).
>
> - Should the oeis-functionality be included in some way (at some point)?
> At the moment
>     iter(oeis(...).first_terms())
> comes closest.
>
> Best wishes
>
> Daniel
>
> [1] http://trac.sagemath.org/ticket/18565
>
> [*] An alternative would be to create a class and do it in a similar way
> as sage.combinat.words.Word (of course in this case much more has to be
> done than now; (common base-class for words/sequences?!? ...not sure
> what to think about this...)).
>
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-- 
William (http://wstein.org)

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