A066288 - OEIS

A066288

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

1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,19

COMMENTS

The sequence counts "one-sided" polycubes (A000162); chiral polycubes count twice. - John Mason, Sep 18 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*R(n)+G(n), see Lunnon paper for naming convention. - John Mason, Sep 18 2024

CROSSREFS

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

Sequence in context: A152137 A097470 A230093 * A033322 A329679 A130713

Adjacent sequences: A066285 A066286 A066287 * A066289 A066290 A066291

KEYWORD

nonn,hard,more

AUTHOR

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

EXTENSIONS

Name clarified and more terms from John Mason, Sep 18 2024

STATUS

approved

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