A366335 - OEIS

A366335

Number of fixed (4,2)-polyominoids with n cells.

6, 60, 916, 16698, 336210, 7218768

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,1

COMMENTS

A (D,d)-polyominoid is a connected set of d-dimensional unit cubes with integer coordinates in D-dimensional space, where two cubes are connected if they share a (d-1)-dimensional facet. For example, (3,2)-polyominoids are normal polyominoids (A075678), (D,D)-polyominoids are D-dimensional polyominoes (A001168, A001931, A151830, ...), and (D,1)-polyominoids are polysticks in D dimensions (A096267, A365560, A365562, ...).

LINKS

Table of n, a(n) for n=1..6.

Wikipedia, Polyominoid.

Index entries for sequences related to polyominoes.

CROSSREFS

Cf. A366334 (free).

46th row of A366767.

Fixed (D,d)-polyominoids:

D\d| 1 2 3 4

---+--------------------------------

1 | A000012

2 | A096267 A001168