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

%I #15 Dec 04 2023 12:32:13

%S 4,24,200,1924,20228,225788,2631672

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

%C Two cubes sharing a face have a right-angled connection if they do not lie in the same 3-dimensional affine subspace.

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

%C Also, number of fixed polysticks in 4 dimensions with right-angled connections.

%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 Cf. A075678, A365655, A366337, A366339, A366340 (free).

%Y 41st and 77th row of A366767.

%K nonn,hard,more

%O 1,1

%A _Pontus von Brömssen_, Oct 07 2023