A272368 Number of polycubes with n cells, allowing vertex connections and edge connections as well as face connections, identifying mirror images.

1, 3, 14, 165, 2676, 59541, 1448610, 37029315, 971243592

Offset

1,2

Links

Table of n, a(n) for n=1..9.

Example

There are 3 ways to join two cells of the cubic grid at faces, edges, or vertices, so a(2) = 3.

Crossrefs

Cf. A272385 (distinguishing mirror images), A268666 (no vertex connections), A038119 (face connections only).

38th row of A366766.

Sequence in context: A185238 A090897 A120459 * A108798 A260995 A220438

Adjacent sequences: A272365 A272366 A272367 * A272369 A272370 A272371

Keyword

nonn,nice,more,hard

Author

George Sicherman, Apr 27 2016

Extensions

a(8) and a(9) from Joerg Arndt and Márk Péter Légrádi, May 28 2023

Status

approved