#19620: fast (lazy) infinite words
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       Reporter:  vdelecroix         |        Owner:
           Type:  enhancement        |       Status:  needs_review
       Priority:  major              |    Milestone:  sage-7.0
      Component:  combinatorics      |   Resolution:
       Keywords:                     |    Merged in:
        Authors:  Vincent Delecroix  |    Reviewers:
Report Upstream:  N/A                |  Work issues:
         Branch:                     |       Commit:
  u/vdelecroix/19620                 |  1e506ee2885dc086f24973db538dc4682ace1e01
   Dependencies:                     |     Stopgaps:
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Comment (by mantepse):

 Wow! this looks like a much better basis for power series, in particular
 for species.  A question: I'd like to do
 {{{
 sage: SymmetricFunctions(QQ).inject_shorthands()
 sage: Word(lambda n: h[n])
 word:
 
h[],h[1],h[2],h[3],h[4],h[5],h[6],h[7],h[8],h[9],h[10],h[11],h[12],h[13],h[14],h[15],h[16],h[17],h[18],h[19],h[20],h[21],h[22],h[23],h[24],h[25],h[26],h[27],h[28],h[29],h[30],h[31],h[32],h[33],h[34],h[35],h[36],h[37],h[38],h[39],...

 }}}

 and now apply a {{{lambda f: p(f)}}} to each "letter".  Is this easy to
 do?

--
Ticket URL: <http://trac.sagemath.org/ticket/19620#comment:10>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
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