ModularMajorIndex on BinaryWord
The major index modulo the length of the word.
FindStat's St001485.
Called as CombinatorialStat(x, "ModularMajorIndex"). The head's page has its examples.
Live
Distribution
Over BinaryWords at each size, tallied here in your browser; sizes past 6 are not offered.
Also on
The same name on other carriers, each its own implementation: StandardTableau.
FindStat St001485
The modular major index of a binary word.
| Object | Value |
|---|---|
0 | 0 |
1 | 0 |
00 | 0 |
01 | 0 |
10 | 1 |
11 | 0 |
000 | 0 |
001 | 0 |
Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St001485 has the rest.