This site computes the Garsia-Remmel q-rook numbers of a Ferrers board. Plot its coefficients and check if the polynomial is unimodal. This accompanies the paper Garsia--Remmel q-rook numbers are not always unimodal by Joel Brewster Lewis and Alejandro H. Morales. Enter a partition to analyze its q-rook polynomial, or click on the board to place rooks interactively.
Inversion Number:
0
Rook Placements (row, col):
None
The inversion number is the count of board cells remaining after, for each rook, removing all cells in its column at or above it, and all cells in its row at or to its left.