PartsNotCongruentToOneModuloThree on IntegerPartition
Parts that are not congruent to 1 modulo 3.
Called as CombinatorialStat(x, "PartsNotCongruentToOneModuloThree"). The head's page has its examples.
Live
Distribution
Over IntegerPartitions at each size, tallied here in your browser; sizes past 30 are not offered.
FindStat St001251
The number of parts of a partition that are not congruent 1 modulo 3.
| Object | Value |
|---|---|
[] | 0 |
[1] | 0 |
[2] | 1 |
[3] | 1 |
[4] | 0 |
[5] | 1 |
[6] | 1 |
[7] | 0 |
Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St001251 has the rest.