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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 (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 Table of n, a(n) for n=1..22. 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 Cf. A000577, A367173, A367174. Sequence in context: A013084 A263535 A018681 * A018735 A041013 A018754 Adjacent sequences: A367169 A367170 A367171 * A367173 A367174 A367175 KEYWORD nonn,more AUTHOR Craig Knecht and John Mason, Nov 07 2023 EXTENSIONS More terms from Walter Trump, May 01 2024 STATUS approved

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