A384274 Number of connected components of polyhedra in the quarter cubic honeycomb up to translation, rotation, and reflection of the honeycomb.

1, 2, 2, 5, 20, 96, 581, 4079, 31079, 247169, 2018826, 16771564, 141113504, 1199154541, 10274686867

Offset

0,2

Links

Table of n, a(n) for n=0..14.

Peter Kagey, Illustration of a(4) = 20.

Wikipedia, Quarter cubic honeycomb

Crossrefs

Cf. A038119 (cubic honeycomb), A038181 (bitruncated cubic honeycomb), A343909 (tetrahedral-octahedral honeycomb), A384254 (rectified cubic honeycomb).

Cf. A384486.

Sequence in context: A173323 A019099 A382392 * A154647 A103890 A292699

Adjacent sequences: A384271 A384272 A384273 * A384275 A384276 A384277

Keyword

nonn

Author

Peter Kagey, May 24 2025

Extensions

a(9)-a(14) from Bert Dobbelaere, Jun 12 2025

Status

approved