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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
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
KEYWORD
nonn,more
AUTHOR
Craig Knecht and John Mason, Nov 07 2023
EXTENSIONS
More terms from Walter Trump, May 01 2024
STATUS
approved