muEC::PART::ListPart – list of partitions of a given weight
returns the list of the partitions of a given weight
Call:
muEC::PART::ListPart(n, <Options>)
Parameters:
n: |
any non negative integer |
Options:
maxlg = l: |
maximal number of parts of each partition |
maxpart = p: |
outermost possible shape |
regular = m: |
only m-regular partitions are listed |
nb: |
only counts objects |
Related Functions:
muEC::PART::ListPartIn, muEC::PART::ListSkewDiag, muEC::TYP::IsPart
Details:
The muEC::PART::ListPart function gives all partitions of n.
A partition of n is a weakly decreasing list of positive integers, called parts, with sum n.
When called with one argument, say n, the function returns the list of all partitions of n.
Given a partition part, _plus(op(part)) gives its weight.
muEC::PART::ListPart( 4 );
muEC::PART::ListPart( 5, maxlg=3 );
muEC::PART::ListPart( 5, maxpart=[3,2], maxlg=3 );
muEC::PART::ListPart( 100, nb );