A038169 Number of "connected animals" formed from n triakis truncated tetrahedra connected along hexagonal faces in the triakis truncated tetrahedral honeycomb, allowing translations, rotations, and reflections of the honeycomb.

1, 1, 1, 3, 7, 24, 88, 385, 1713, 8112, 38869, 190128, 938357

Offset: 1

Author

Achim Flammenkamp

Keywords

• nonn
• more

Comments

Previous name was 'Number of "connected animals" formed from n tricapped truncated tetrahedra in the diamond lattice, allowing translation and rotations of the lattice and reflections.' - Peter Kagey, May 30 2025

References

• A. T. Balaban and Paul von R. Schleyer, "Graph theoretical enumeration of polymantanes", Tetrahedron, (1978), vol. 34, pp. 3599-3609. See Page 3605.

Links

• S. T. Coffin, Puzzling World of Polyhedral Dissections, Oxford Univ. Press, 1991.
• Peter Kagey, Illustration of a(5)=7.
• Wikipedia, Triakis truncated tetrahedral honeycomb

Crossrefs

Cf. A000162, A038119, A038168, A038170, A038171, A038172, A038173, A038174.

Extensions

Name changed by Peter Kagey, May 30 2025