This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A367172 #23 May 01 2024 11:28:42 %S A367172 1,2,4,8,16,58,116,232,464,1690,3380,6760,24712,49424,98848,361258, %T A367172 722516,1445032,5280576,10561152,21122304,77188216 %N 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. %C A367172 The sequence considers reflections and rotations as distinct tilings. %C A367172 The polyiamonds being tiled and the tiles themselves may be with or without holes. %H A367172 Craig Knecht, John Mason and Walter Trump, <a href="/A367172/a367172_1.pdf">Polyiamond tiling V2</a> %e A367172 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. %Y A367172 Cf. A000577, A367173, A367174. %K A367172 nonn,more %O A367172 1,2 %A A367172 _Craig Knecht_ and _John Mason_, Nov 07 2023 %E A367172 More terms from _Walter Trump_, May 01 2024