A371062 Number of one-sided generalized polyforms on the tetrahedral-octahedral honeycomb with n cells.

1, 2, 1, 4, 11, 65, 339, 2211, 14356, 97599, 671518, 4696575, 33186688, 236773833, 1702530274, 12327097246, 89791558276

Offset: 0

Author

Peter Kagey, Mar 09 2024

Keywords

• nonn
• more
• hard

Comments

This sequence counts "one-sided" polyforms where holes are allowed. This means that two polyforms are considered the same if one is a rotation of the other. However, reflections of chiral polytopes are considered distinct.

The ratio a(n)/A343909(n) -> 2 as n -> infinity.

Links

• Peter Kagey, A photograph of the a(4)=11 polyforms 3D printed.

Crossrefs

Cf. A000162, A343909.

Extensions

a(10)-a(16) from Bert Dobbelaere, Jun 10 2025