A383495 Number of polyforms with n cells on the faces of a pentakis dodecahedron up to rotation.

1, 1, 2, 3, 8, 18, 46, 108, 280, 694, 1788, 4544, 11740, 30105, 77584, 199102, 510910, 1305859, 3328504, 8441297, 21293077, 53315322, 132301407, 324539916, 784969397, 1866286028, 4347578908, 9887356006, 21865065180, 46806020153, 96503472390, 190548248699

Offset

0,3

Comments

These are "one-sided" polyforms.

The pentakis dodecahedron is the polyhedral dual of the truncated icosahedron.

Links

Table of n, a(n) for n=0..31.

Wikipedia, Pentakis dodecahedron

Crossrefs

Cf. A383494 (free).

Cf. A030137 (dodecahedron), A030138 (icosahedron), A383491 (rhombic triacontahedron), A383493 (triakis icosahedron), A383497 (disdyakis triacontahedron), A383498 (deltoidal hexecontahedron).

Sequence in context: A241906 A079224 A002369 * A005957 A185171 A339524

Adjacent sequences: A383492 A383493 A383494 * A383496 A383497 A383498

Keyword

nonn,fini,more

Author

Peter Kagey, Apr 28 2025

Extensions

a(14)-a(31) from Bert Dobbelaere, Jun 12 2025

Status

approved