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

1,5

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.

Links

Table of n, a(n) for n=1..22.

Formula

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

Crossrefs

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

Sequence in context: A056122 A036828 A142613 * A298838 A114756 A336186

Adjacent sequences: A066450 A066451 A066452 * A066454 A066455 A066456

Keyword

nonn

Author

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

Extensions

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

Status

approved