A384679 Number of edge-connected components on the faces of a tetrakis square tiling where the degree-8 vertices have been truncated, up to translation, rotation and reflection of the tiling.

1, 2, 3, 10, 30, 123, 500, 2240, 10153, 47341, 223015, 1063340, 5108118, 24710991, 120202087, 587570923, 2884199700, 14210246496, 70242677688

Offset

0,2

Comments

There are two types of tiles: those that come from truncating the degree-8 vertices, and those that are a subset of the triangular tiles in the tetrakis square tiling.

Links

Table of n, a(n) for n=0..18.

Sven Geier, Driveway in Highland Park, CA.

Peter Kagey, Illustration of a(4) = 30.

Crossrefs

Cf. A197465 (tetrakis square tiling).

Sequence in context: A338593 A270363 A131764 * A066706 A353052 A209003

Adjacent sequences: A384676 A384677 A384678 * A384680 A384681 A384682

Keyword

nonn,more

Author

Peter Kagey, Jun 06 2025

Extensions

a(9)-a(18) from Bert Dobbelaere, Jun 14 2025

Status

approved