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A004029 Number of n-dimensional space groups.
(Formerly M2103)
7
1, 2, 17, 219, 4783, 222018, 28927915 (list; graph; refs; listen; history; internal format)
OFFSET

0,2

REFERENCES

H. Brown, R. B\"{u}low, J. Neub\"{u}ser, H. Wondratschek and H. Zassenhaus, Crystallographic Groups of Four-Dimensional Space. Wiley, NY, 1978, p. 52.

P. Engel, ``Geometric crystallography,'' in P. M. Gruber and J. M. Wills, editors, Handbook of Convex Geometry. North-Holland, Amsterdam, Vol. B, pp. 989-1041.

J. E. Goodman and J. O'Rourke, editors, Handbook of Discrete and Computational Geometry, CRC Press, 1997, p. 102 and 934.

T. Janssen, Crystallographic Groups. North-Holland, Amsterdam, 1973, p. 119.

W. Plesken and T. Schulz, Counting crystallographic groups in low dimensions, Experimental Mathematics, 9 (No. 3, 2000), 407-411.

R. L. E. Schwarzenberger, $N$-Dimensional Crystallography. Pitman, London, 1980, p. 34.

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

LINKS

Dror Bar-Natan, Illustrations of 2-dimensional symmetry groups

W. Plesken and T. Schulz, CARAT Homepage

CROSSREFS

Cf. A006227, A004027.

Sequence in context: A058010 A199751 A126752 * A114268 A144208 A183711

Adjacent sequences:  A004026 A004027 A004028 * A004030 A004031 A004032

KEYWORD

nonn,hard,nice

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

EXTENSIONS

a(7) corrected by W. Plesken and T. Schulz. Thanks to Max Horn for reporting this correction, Dec 18 2009

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Last modified February 12 02:53 EST 2012. Contains 205360 sequences.