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Number of free (4,2)-polyominoids with n cells, allowing right-angled (or hard) connections only.
3

%I #11 Nov 03 2023 17:01:26

%S 1,1,8,44,509,7091

%N Number of free (4,2)-polyominoids with n cells, allowing right-angled (or hard) connections only.

%C Two squares sharing an edge have a right-angled connection if they do not lie in the same plane.

%C Connections that are not right-angled (flat connections) may occur, but the polyominoids considered here must be connected through right-angled connections only.

%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 45th row of A366766.

%Y Cf. A075679, A365654, A366334, A366339 (fixed), A366340.

%K nonn,hard,more

%O 1,3

%A _Pontus von Brömssen_, Oct 07 2023