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Number of tilings of a right isosceles triangle by n right isosceles triangular tiles of any size, such that the intersection of any two tiles is either empty, a vertex of both tiles, or an edge of both tiles.
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%I #17 Feb 04 2024 02:51:51

%S 1,1,2,6,10,15,30,69,137,243,451,853,1562,2912,5555,10459,19644,37039,

%T 69305,129346

%N Number of tilings of a right isosceles triangle by n right isosceles triangular tiles of any size, such that the intersection of any two tiles is either empty, a vertex of both tiles, or an edge of both tiles.

%H E. Caputo, S. Harteveldt, and A. Patwari, <a href="https://www.girlsangle.org/page/bulletin-archive/GABv17n01E.pdf">A Tiling Problem</a>, Girls' Angle Bulletin, Vol 17-1, 2023. See pp. 6-10.

%K nonn,nice,more

%O 1,3

%A _Elisabeth Bullock_, Jan 17 2024