A391472 Number of distinct combinatorial types of hyperplane sections (of dimension n-1) of the regular n-cube.

1, 1, 4, 30, 344, 7346

Offset

1,3

Links

Table of n, a(n) for n=1..6.

M.-C. Brandenburg and C. Meroni, Combinatorics of slices of cubes, arXiv:2510.09265 [math:CO], 2025.

M.-C. Brandenburg and C. Meroni, Combinatorics of slices of cubes, Data set, Zenodo, 2025. DOI: 10.5281/zenodo.17304584.

Example

For n=3 the a(n)=4 combinatorial types of slices of the 3-dimensional cube are a triangle, a quadrilateral, a pentagon, a hexagon.

Crossrefs

Cf. A001532 for the number of combinatorial types of hyperplane sections of the n-dimensional cube, such that the hyperplane contains the center of symmetry and does not contain any vertex of the cube.

Sequence in context: A052316 A379936 A089918 * A392789 A392784 A371041

Adjacent sequences: A391469 A391470 A391471 * A391473 A391474 A391475

Keyword

nonn,hard,more

Author

Chiara Meroni, Dec 10 2025

Status

approved