A384679 - OEIS

%I #16 Jun 14 2025 17:16:45

%S 1,2,3,10,30,123,500,2240,10153,47341,223015,1063340,5108118,24710991,

%T 120202087,587570923,2884199700,14210246496,70242677688

%N 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.

%C 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.

%H Sven Geier, <a href="https://mathstodon.xyz/@SvenGeier/114462923594235265">Driveway in Highland Park, CA</a>.

%H Peter Kagey, <a href="/A384679/a384679.png">Illustration of a(4) = 30</a>.

%Y Cf. A197465 (tetrakis square tiling).

%K nonn,more

%O 0,2

%A _Peter Kagey_, Jun 06 2025

%E a(9)-a(18) from _Bert Dobbelaere_, Jun 14 2025