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The number of diag(n, n, n) 3D diagonal polyominoes.
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%I #5 Feb 16 2020 20:17:21

%S 1,32,2271,79936,2103269,49998072,1163531779,27263453288

%N The number of diag(n, n, n) 3D diagonal polyominoes.

%C Top row of Table 1, Minimal polyominoes inscribed in an n X n X n prism, on p. 7 of Alain. a(n) <= A000162(n) (Number of 3-dimensional polyominoes (or polycubes) with n cells).

%H Goupil Alain and Cloutier Hugo, <a href="http://arxiv.org/abs/1009.4859">3D Polyominoes inscribed in a rectangular prism</a>, Sep 24, 2010.

%Y Cf. A000162.

%K nonn

%O 1,2

%A _Jonathan Vos Post_, Sep 27 2010