A276272 Number of polytets with n cells, distinguishing mirror images.

1, 1, 1, 4, 10, 39, 164, 767, 3656, 18184, 91498, 467811, 2413970, 12563999, 65817022, 346751574, 1835479513, 9756025287

Offset

1,4

Comments

A polytet or polytetrahedron is a solid formed by joining Platonic tetrahedra face to face.

Links

Table of n, a(n) for n=1..18.

David Ellsworth, Code Golf Stack Exchange, Gluing tetrahedra together

G. L. Sicherman, Catalogue of Polytets

Example

a(4) = 4 because four cells can be grouped around a common edge, or have each of three attached to the fourth, or be joined in series; and the last case has distinct mirror images.

Crossrefs

Cf. A119602 (number of polytetrahedra allowing edge connections as well as face connections), A007173, A038168.

Sequence in context: A302183 A149203 A038168 * A186337 A100307 A238721

Adjacent sequences: A276269 A276270 A276271 * A276273 A276274 A276275

Keyword

nonn,hard,more

Author

George Sicherman, Aug 26 2016

Extensions

a(6)-a(16) from Peter Kagey, Oct 09 2025 (via David Ellsworth's Code Golf Stack Exchange link)

a(17) from Peter Kagey, Oct 27 2025 (via David Ellsworth's Code Golf Stack Exchange link)

a(10)-a(17) corrected by Peter Kagey, Oct 30 2025 (via David Ellsworth's Code Golf Stack Exchange link)

a(14)-a(17) corrected and a(18) added by Peter Kagey, Nov 11 2025 (via David Ellsworth's Code Golf Stack Exchange link)

Status

approved