A395859 Number of enantiomorphic pairs among n-dimensional space groups.

0, 0, 0, 11, 111, 79

Offset

0,4

Comments

7045 <= a(6) <= 7052.

Links

Table of n, a(n) for n=0..5.

Bachir Bekka and Christian Brouder, Representations of the symmetry groups of infinite crystals, arXiv:2512.22265 [cond-mat.mtrl-sci], 2025.

Franka Miriam Brückler and Vladimir Stilinović, From Friezes to Quasicrystals: A History of Symmetry Groups, 2023, in: Handbook of the History and Philosophy of Mathematical Practice, Springer.

B. Souvignier, Enantiomorphism of crystallographic groups in higher dimensions with results in dimensions up to 6, Acta Cryst., A59 (2003), 210-220.

Formula

a(n) = A006227(n) - A004029(n).

Crossrefs

Cf. A006227, A004029.

Sequence in context: A004287 A061493 A093788 * A327992 A204847 A098759

Adjacent sequences: A395855 A395856 A395857 * A395860 A395861 A395862

Keyword

nonn,hard,more

Author

Yue Jiang, May 08 2026

Status

approved