Wolfram Language Paclet Repository
Community-contributed installable additions to the Wolfram Language
PeterBurbery`Combinatorics`
StrictIntegerPartitions |
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Details and Options
Examples
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Basic Examples
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A strict integer partition has no duplicate parts. For example, {5,3,1,1} has a duplicated 1. Therefore, {5,3,1,1} is not a strict integer partition. {6,4,2,1} has all unique parts so it is a strict integer partition.
List the partitions of 16 into distinct parts.
In[1]:=
 | StrictIntegerPartitions |
Out[1]=
{{16},{15,1},{14,2},{13,3},{13,2,1},{12,4},{12,3,1},{11,5},{11,4,1},{11,3,2},{10,6},{10,5,1},{10,4,2},{10,3,2,1},{9,7},{9,6,1},{9,5,2},{9,4,3},{9,4,2,1},{8,7,1},{8,6,2},{8,5,3},{8,5,2,1},{8,4,3,1},{7,6,3},{7,6,2,1},{7,5,4},{7,5,3,1},{7,4,3,2},{6,5,4,1},{6,5,3,2},{6,4,3,2,1}}
Properties & Relations
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