%I #12 Sep 18 2024 16:34:26

%S 0,0,0,0,0,3,5,11,11,24,35,84,92,174,254,606,658,1255,1769,4353,4667,

%T 9131

%N Number of 3-dimensional polyominoes (or polycubes) with n cells and rotational symmetry group of order exactly 4.

%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*A(n)+2*BB(n)+2*BC(n)+AE(n)+BFF(n)+CJ(n)+EEE(n)+EF(n)+EFF(n), see Lunnon paper for naming convention. - _John Mason_, Sep 18 2024

%Y See A000162, A066273, A066283, A066287, A066288, A066453, A066454.

%K nonn,more

%O 1,6

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

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