SubexcedantSeq from Permutation
Entry i counts the earlier entries larger than p(i): the permutation's inversion sequence.
Called as CombinatorialMap(x, "SubexcedantSeq"). The head's page has its examples.
Live
Explore
Each element of Permutation at a size, and its image, applied in your browser; sizes past 7 are not offered.
Properties
Transport a statistic
Pick a statistic on SubexcedantSeq. Its distribution over the images of Permutation at each size is computed, and compared with the 323 statistics on Permutation: those that share it are the ones the map sends it to, as far as the sizes computed show.
No statistic is declared on SubexcedantSeq.