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A006226 Number of abstract n-dimensional crystallographic point groups.
(Formerly M1916)
1
1, 2, 9, 18, 118, 239, 1594 (list; graph; refs; listen; history; internal format)
OFFSET

1,2

REFERENCES

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.

A. C. Hurley, Finite rotation groups and crystal classes in four dimensions. Proc. Cambridge Philos. Soc. 47, (1951). 650-661.

A. C. Hurley, Crystal Classes of Four-Dimensional Space R4, Acta Crystallog., 22 (1967), see especially p. 605.

T. Janssen, Crystallographic Groups. North-Holland, Amsterdam, 1973, p. 73.

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

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

LINKS

W. Plesken and T. Schulz, CARAT Homepage

Experimental Mathematics, Home Page

CROSSREFS

Cf. A004027, A004028, A004029.

Sequence in context: A037421 A083423 A068978 * A109298 A075537 A180852

Adjacent sequences:  A006223 A006224 A006225 * A006227 A006228 A006229

KEYWORD

hard,nonn,nice

AUTHOR

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

EXTENSIONS

Two more terms from W. Plesken and T. Schulz (tilman(AT)momo.math.rwth-aachen.de), Feb 27, 2001.

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Last modified February 15 15:20 EST 2012. Contains 205823 sequences.