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BUILT-IN MATHEMATICA SYMBOL
IntegerPartitions
IntegerPartitions[n]
gives a list of all possible ways to partition the integer n into smaller integers.
IntegerPartitions[n, k]
gives partitions into at most k integers.
IntegerPartitions[n, {k}]
gives partitions into exactly k integers.
IntegerPartitions[n, {kmin, kmax}]
gives partitions into between 
and 
integers.
IntegerPartitions[n, kspec, {s1, s2, ...}]
gives partitions involving only the 
.
IntegerPartitions[n, kspec, sspec, m]
limits the result to the first m partitions.
Details
- Results from IntegerPartitions are normally given in reverse lexicographic order.
- Length[IntegerPartitions[n]] is PartitionsP[n].
- IntegerPartitions[n] is equivalent to IntegerPartitions[n, All].
- IntegerPartitions[n, {kmin, kmax, dk}] gives partitions into
, 
, ... integers. - n and the
can be rational numbers, and can be negative. - In the list of partitions, those involving earlier
are given last. - IntegerPartitions[n, kspec, sspec, -m] limits the result to the last m partitions.
- In
, a kspec of All corresponds to {0, Infinity}; an sspec of All corresponds to Range[n]; an m of All corresponds to Infinity.
New in 6 | Last modified in 7
