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

Author

George Sicherman, Apr 27 2016

Keywords

• nonn
• nice
• more
• hard

Examples

			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.

Extensions

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