A304198 Number of free tree-like 4d-polycubes of size n.

1, 1, 2, 6, 24, 122, 838, 6759, 61600, 600875, 6139448

Offset: 1

Author

Lotfi Bouallagui, May 07 2018

Keywords

• nonn
• more

Comments

A free tree-like polycube of size n in four dimensions is a hyperface-connected set of n cells in the 4d-hypercubic lattice, up to translation, rotation and reflection, whose dual graph has no cycles.

Links

• Alexandre Blondin Massé, Julien de Carufel, Alain Goupil, and Maxime Samson, Fully-leafed tree-like polyominoes and polycubes, In Combinatorial algorithms, volume 10765 of Lecture Notes of Computer Science, 28th International workshop, IWOCA 2017, Newcastle, NSW, Australia, Springer, 2018.

Crossrefs

Cf. A191094 (fixed tree-like 4d-polycubes), A131482 (free tree-like polyominoes), A304196 (free tree-like 3d-polycubes).