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

Offset

0,2

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

Table of n, a(n) for n=0..9.

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

Crossrefs

Cf. A000162, A343909.

Sequence in context: A323937 A088137 A205870 * A354116 A064297 A358501

Adjacent sequences: A371058 A371059 A371060 * A371063 A371064 A371065

Keyword

nonn,more,hard

Author

Peter Kagey, Mar 09 2024

Status

approved