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 );