A066453 Number of 3-dimensional polyominoes (or polycubes) with n cells and trivial rotational symmetry group.

0, 0, 0, 1, 17, 127, 941, 6662, 47771, 344708, 2518713, 18585455, 138434899, 1039401564, 7859310749, 59794417068, 457408090798, 3516003907738, 27144132395911, 210375321159360, 1636229683680890, 12766881894462441

Offset: 1

Author

Brendan Owen (brendan_owen(AT)yahoo.com), Dec 27 2001

Keywords

• nonn

Comments

The sequence counts "one-sided" polycubes (A000162); chiral polycubes count twice. - John Mason, Sep 19 2024

References

• 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.

Crossrefs

Cf. A000162, A066454, A066273, A066281, A066283, A066287, A066288.

Formula

a(n) = 2*I(n)+E(n)+F(n)+K(n), see Lunnon paper for naming convention. - John Mason, Sep 19 2024

Extensions

Name clarified by and more terms from John Mason, Sep 19 2024