PlanePartition
A name from the enumeratio catalogue with no kernel of its own yet; this page carries its crosswalk only.
Catalogued in the enumeratio database; not yet written up here.
OEIS
A000219via PlanePartitionsSageMathPlanePartitions(n)via PlanePartitionsPlanePartitions([a, b, c])via BoxedPlanePartitionsPlanePartition(...)Catalogued in the enumeratio database; not yet written up here.Typed signatures
| Type | Package | Applies |
|---|---|---|
(list<list<integer>>) -> plane_partition | combinatorics | always |
Statistics
On PlanePartition, called as CombinatorialStat(x, "Name").
- AmbientCubeSizeSt001920The side of the smallest cube that holds the array: the most of its rows, its columns and its largest entry.
- BoxCountSt001422The number of boxes: the sum of the entries.
- ColumnCountSt001460The number of columns: the length of the first row.
- ConjugateTraceSt001923The entries at least as large as their row number.
- DistinctPartsSt001453How many distinct entries occur.
- DurfeeCubeSt001451The side of the largest cube in the array: the most diagonal entries d with the d-th at least d.
- EvenPartsSt001452Entries that are even.
- FirstRowSumSt001456The sum of the first row.
- LargestPartSt001447The largest entry: the corner of the array.
- LargestRepeatedPartSt001455The largest entry that occurs at least twice; 0 if the entries are distinct.
- MultiplicityOfSmallestPartSt001457How many entries equal the smallest.
- OddPartsSt001448Entries that are odd.
- PartCountSt001922The number of parts: the entries.
- PartRangeSt001454The largest entry minus the smallest.
- RemovableBoxCountSt001445The number of entries larger than both the entry to their right and the entry below.
- RowCountSt001446The number of rows.
- SmallestMissingPartSt001449The smallest positive integer that is not an entry.
- TraceSt001919The sum of the diagonal entries.
Maps
Into and out of PlanePartition, called as CombinatorialMap(x, "Name"). Properties are the laws we state and what FindStat records.
About
| Crosswalk | OEISSageMath ×2 |
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