Python number_of_partitions Examples

Example #1

File: partition_species.py Project: robertwb/sage

    def _itgs_iterator(self, base_ring):
        r"""
        The isomorphism type generating series is given by
        `\frac{1}{1-x}`.

        EXAMPLES::

            sage: P = species.PartitionSpecies()
            sage: g = P.isotype_generating_series()
            sage: g.coefficients(10)
            [1, 1, 2, 3, 5, 7, 11, 15, 22, 30]
        """
        from sage.combinat.partitions import number_of_partitions
        for n in _integers_from(0):
            yield self._weight*base_ring(number_of_partitions(n))

Example #2

File: permutation_species.py Project: sajedel/testsage

    def _itgs_iterator(self, base_ring):
        r"""
        The isomorphism type generating series is given by
        `\frac{1}{1-x}`.

        EXAMPLES::

            sage: P = species.PermutationSpecies()
            sage: g = P.isotype_generating_series()
            sage: g.coefficients(10)
            [1, 1, 2, 3, 5, 7, 11, 15, 22, 30]
        """
        from sage.combinat.partitions import number_of_partitions
        for n in _integers_from(0):
            yield base_ring(number_of_partitions(n))