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A272368
Number of polycubes with n cells, allowing vertex connections and edge connections as well as face connections, identifying mirror images.
6
1, 3, 14, 165, 2676, 59541, 1448610, 37029315, 971243592
OFFSET
1,2
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
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