A066288 - OEIS

%I #10 Sep 19 2024 01:48:00

%S 1,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,1,2,1,0,0

%N Number of 3-dimensional polyominoes (or polycubes) with n cells and rotational symmetry group of order exactly 24.

%C The sequence counts "one-sided" polycubes (A000162); chiral polycubes count twice. - _John Mason_, Sep 18 2024

%D W. F. Lunnon, Symmetry of cubical and general polyominoes, pp. 101-108 of R. C. Read, editor, Graph Theory and Computing. Academic Press, NY, 1972.

%F a(n) = 2*R(n)+G(n), see Lunnon paper for naming convention. - _John Mason_, Sep 18 2024

%Y See A000162, A066273, A066281, A066283, A066287, A066453, A066454.

%K nonn,hard,more

%O 1,19

%A Brendan Owen (brendan_owen(AT)yahoo.com), Jan 01 2002

%E Name clarified and more terms from _John Mason_, Sep 18 2024