A366341 Number of fixed (4,3)-polyominoids with n cells, allowing right-angled (or hard) connections only.

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

Offset

1,1

Comments

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

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

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

Links

Table of n, a(n) for n=1..7.

Wikipedia, Polyominoid.

Index entries for sequences related to polyominoes.

Crossrefs

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

41st and 77th row of A366767.

Sequence in context: A220690 A136229 A138419 * A341727 A089946 A343094

Adjacent sequences: A366338 A366339 A366340 * A366342 A366343 A366344

Keyword

nonn,hard,more

Author

Pontus von Brömssen, Oct 07 2023

Status

approved