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Number of free (rotations and reflections count as same shape) polyominoids (shapes made of faces of cubes) with n squares.
17

%I #21 Aug 15 2024 19:04:16

%S 1,2,9,54,448,4650,53611,655033,8259635,106371085,1391032357,

%T 18412269694

%N Number of free (rotations and reflections count as same shape) polyominoids (shapes made of faces of cubes) with n squares.

%H John Mason, <a href="/A075679/a075679.pdf">Drawings of polyominoids of sizes 1 through 5</a>

%H Skye Rothstein, <a href="https://digitalcommons.bard.edu/senproj_s2024/254">Folding and Embedding Cubical Complexes</a>, Undergraduate senior project, Bard College (2024). See p. 9.

%H Wikipedia, <a href="https://en.wikipedia.org/wiki/Polyominoid">Polyominoid</a>

%Y Cf. A075678, A056846.

%Y 18th row of A366766.

%K hard,more,nonn

%O 1,2

%A _Joseph Myers_, Sep 24 2002