IntegerPartitions
The partitions of
Wikipedia
Integer partitionPartition (number theory)MathWorldPartitionWikidataQ1082910Britannicatopic/partition-of-an-integerOEISA000041✓A092885✓A280662✓A330641✓A194439✓A046054✓Wolfram LanguageIntegerPartitionsPartitionsPSageMathPartitions(n)SymPypartitionsmathlib4Nat.PartitionIntegerPartitions(n)every way to write Details
- A lazy indexed collection, unranked in reverse-lexicographic order; the count is the partition number
— — with no elementary closed form. - Each element is the part list in weakly decreasing order; drawn as a Ferrers diagram, its statistics (Length, LargestPart, DurfeeSquare, …) live in
. - Conjugation (transposing the diagram) is an involution; the self-conjugate partitions of
equal the partitions of into distinct odd parts.