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

1,4

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

Table of n, a(n) for n=1..13.

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.

Sequence in context: A383984 A383983 A246657 * A176606 A385268 A007172

Adjacent sequences: A038166 A038167 A038168 * A038170 A038171 A038172

Keyword

nonn,more

Author

Achim Flammenkamp

Extensions

Name changed by Peter Kagey, May 30 2025

Status

approved