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A270862 Number of polycubes with n cells, allowing edge connections as well as face connections, distinguishing mirror images. 2

%I #20 May 20 2023 08:21:35

%S 1,2,9,88,1103,17570,295506,5168034,92436673

%N Number of polycubes with n cells, allowing edge connections as well as face connections, distinguishing mirror images.

%D Jørgen Lou, Danish Patent 126840 (27 August 1973).

%H G. L. Sicherman, <a href="https://sicherman.net/polykedge/">Catalogue of Polykedges</a>.

%e a(3)=9 because there are 8 ways to join 3 cells in the cubic grid at faces or edges, identifying reflections, and one of those 8 has distinct mirror images, which makes 9.

%Y Cf. A268666 (identifying mirror images), A000162, A030222 (2-dimensional polyplets).

%K nonn,nice,more,hard

%O 1,2

%A _George Sicherman_, Mar 24 2016

%E Terms a(8) and a(9) from _Joerg Arndt_ and _Márk Péter Légrádi_, May 20 2023

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Last modified March 29 02:23 EDT 2024. Contains 371264 sequences. (Running on oeis4.)