Integer partitions

Versione 1.3.0.0 (1,74 KB) da Hin Kwan Wong
Finds all partitions of a set containing homogenous elements, also called integer partitions.
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This is similar to submission "24185-partitions" in the exchange, but with the set containing identical elements. The partitioning is a also a way of writing the input n as a sum of positive integers.

An optional argument s can be supplied to output a subset of partitions with number of parts less than or equal to s.

The number of ways of partitioning is according to the sequence
http://oeis.org/A000041

Example 1: intpartition(4) gives {[1 1 1 1],[1 1 2],[1 3],[2 2],4}
Example 2: intpartition(10,2) gives {[3,7],[4,6],[5,5],10}

Cita come

Hin Kwan Wong (2024). Integer partitions (https://www.mathworks.com/matlabcentral/fileexchange/33616-integer-partitions), MATLAB Central File Exchange. Recuperato .

Compatibilità della release di MATLAB
Creato con R2010b
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Versione Pubblicato Note della release
1.3.0.0

--Added optional parameter s to specify maximum size of the partitions.
--Updated to more efficient code (~5x speed), as an unintended consequence, the ordering of partitions in the output cell is changed from the older version.
1.1.0.0

corrected description
1.0.0.0