Size of downsets in the pushing order and a problem of Berlekamp

Ulrich Tamm. Size of downsets in the pushing order and a problem of Berlekamp. Discrete Applied Mathematics, 156(9):1560-1566, 2008. [doi]

@article{Tamm08-0,
  title = {Size of downsets in the pushing order and a problem of Berlekamp},
  author = {Ulrich Tamm},
  year = {2008},
  doi = {10.1016/j.dam.2006.11.022},
  url = {http://dx.doi.org/10.1016/j.dam.2006.11.022},
  researchr = {https://researchr.org/publication/Tamm08-0},
  cites = {0},
  citedby = {0},
  journal = {Discrete Applied Mathematics},
  volume = {156},
  number = {9},
  pages = {1560-1566},
}