#11476: PartitionTuples.cardinality has problems
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       Reporter:  pdehaye        |         Owner:  sage-combinat
           Type:  defect         |        Status:  new          
       Priority:  major          |     Milestone:  sage-5.4     
      Component:  combinatorics  |    Resolution:               
       Keywords:                 |   Work issues:               
Report Upstream:  N/A            |     Reviewers:               
        Authors:                 |     Merged in:               
   Dependencies:                 |      Stopgaps:               
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Comment (by andrew.mathas):

 I had a reply from Karim Belabas (UMR 5251) on pari-dev and it is just a
 matter of increasing the precision:

 {{{
 (08:12) gp > 1/eta(x)^2
 %1 = 1 + 2*x + 5*x^2 + 10*x^3 + 20*x^4 + 36*x^5 + 65*x^6 + 110*x^7 +
 185*x^8 + 300*x^9 + 481*x^10 + 752*x^11 + 1165*x^12 + 1770*x^13 +
 2665*x^14 + 3956*x^15 + 5822*x^16 + O(x^17)

 The series precision is too low, so the 17-th coefficient is unknown. Use

   1/eta(x + O(x^101))

 if you want to access its 100-th coefficient (for instance).

 Cheers,

     K.B.
 }}}

 I'll upload a patch shortly.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/11476#comment:2>
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