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%I M2103 #62 Oct 04 2023 22:25:51
%S 1,2,17,219,4783,222018,28927915
%N Number of n-dimensional space groups.
%C Right border of A293060. - _Andrey Zabolotskiy_, Oct 07 2017
%D H. Brown, R. Bülow, J. Neubüser, H. Wondratschek and H. Zassenhaus, Crystallographic Groups of Four-Dimensional Space. Wiley, NY, 1978, p. 52.
%D 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.
%D J. E. Goodman and J. O'Rourke, editors, Handbook of Discrete and Computational Geometry, CRC Press, 1997, p. 102 and 934.
%D T. Janssen, Crystallographic Groups. North-Holland, Amsterdam, 1973, p. 119.
%D R. L. E. Schwarzenberger, N-Dimensional Crystallography. Pitman, London, 1980, p. 34.
%D N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
%H Dror Bar-Natan, <a href="http://www.math.toronto.edu/~drorbn/Gallery/Symmetry/Tilings/index.html">Illustrations of 2-dimensional symmetry groups</a>
%H Carlos Cid and Tilman Schulz, <a href="https://projecteuclid.org/euclid.em/999188425">Computation of Five and Six Dimensional Bieberbach Groups</a>, Experimental Mathematics 10:1 (2001), 109-115.
%H W. Plesken and T. Schulz, <a href="http://wwwb.math.rwth-aachen.de/carat/">CARAT Homepage</a>
%H W. Plesken and T. Schulz, <a href="/A006226/a006226.pdf">CARAT Homepage</a> [Cached copy in pdf format (without subsidiary pages), with permission]
%H W. Plesken and T. Schulz, <a href="/A006226/a006226_1.pdf">Introduction to CARAT</a> [Cached copy in pdf format (without subsidiary pages), with permission]
%H W. Plesken and T. Schulz, <a href="http://projecteuclid.org/euclid.em/1045604675">Counting crystallographic groups in low dimensions</a>, Experimental Mathematics, 9 (No. 3, 2000), 407-411.
%H E. S. Rosenthal & N. J. A. Sloane, <a href="/A004028/a004028.pdf">Correspondence, 1975</a>
%H R. L. E. Schwarzenberger, <a href="https://doi.org/10.1112/blms/16.3.209">Colour symmetry</a>, Bulletin of the London Mathematical Society 16.3 (1984): 216-229.
%H N. A. Vavilov, <a href="https://doi.org/10.1134/S106345412303010X">Saint Petersburg School of the Theory of Linear Groups. I. Prehistory</a>, Vestnik St. Petersburg Univ. (Russia 2023), Vol. 56, 273-288.
%H Wikipedia, <a href="https://en.wikipedia.org/wiki/Space_group">Space group</a>
%H <a href="/index/Gre#groups">Index entries for sequences related to groups</a>
%Y Cf. A006227, A004027, A293060.
%K nonn,hard,more,nice
%O 0,2
%A _N. J. A. Sloane_
%E a(6) corrected by W. Plesken and T. Schulz. Thanks to Max Horn for reporting this correction, Dec 18 2009
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