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A366334 Number of free (4,2)-polyominoids with n cells. 5

%I #10 Nov 03 2023 17:01:20

%S 1,2,12,95,1267,22349

%N Number of free (4,2)-polyominoids with n cells.

%C 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 (A075679), (D,D)-polyominoids are D-dimensional polyominoes (A000105, A038119, A068870, ...), and (D,1)-polyominoids are polysticks in D dimensions (A019988, A365559, A365561, ...).

%H Wikipedia, <a href="https://en.wikipedia.org/wiki/Polyominoid">Polyominoid</a>.

%H <a href="/index/Pol#polyominoes">Index entries for sequences related to polyominoes</a>.

%Y 46th row of A366766.

%Y Cf. A366335 (fixed).

%Y Free (D,d)-polyominoids:

%Y D\d| 1 2 3 4

%Y ---+--------------------------------

%Y 1 | A000012

%Y 2 | A019988 A000105

%Y 3 | A365559 A075679 A038119

%Y 4 | A365561 A366334 A366336 A068870

%K nonn,hard,more

%O 1,2

%A _Pontus von Brömssen_, Oct 07 2023

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Last modified July 13 12:36 EDT 2024. Contains 374284 sequences. (Running on oeis4.)