The OEIS mourns the passing of Jim Simons and is grateful to the Simons Foundation for its support of research in many branches of science, including the OEIS.
login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A367172 a(n) = the maximum number of distinct tilings of a polyiamond of size n using any combination of polyiamond tiles of sizes 1 through n. 3
1, 2, 4, 8, 16, 58, 116, 232, 464, 1690, 3380, 6760, 24712, 49424, 98848, 361258, 722516, 1445032, 5280576, 10561152, 21122304, 77188216 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,2
COMMENTS
The sequence considers reflections and rotations as distinct tilings.
The polyiamonds being tiled and the tiles themselves may be with or without holes.
LINKS
Craig Knecht, John Mason and Walter Trump, Polyiamond tiling V2
EXAMPLE
a(3) = 4 because the triamond can be tiled by (1) a triamond, (2) 3 moniamonds, and (3) a moniamond and a diamond in two distinct ways.
CROSSREFS
Sequence in context: A013084 A263535 A018681 * A018735 A041013 A018754
KEYWORD
nonn,more
AUTHOR
Craig Knecht and John Mason, Nov 07 2023
EXTENSIONS
More terms from Walter Trump, May 01 2024
STATUS
approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified May 23 13:40 EDT 2024. Contains 372763 sequences. (Running on oeis4.)