

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
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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



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



EXTENSIONS



STATUS

approved



