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Search: id:A001309
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| A001309 |
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Order of real Clifford group L_n connected with Barnes-Wall lattices in dimension 2^n. |
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13
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| 2, 16, 2304, 5160960, 178362777600, 96253116206284800, 819651496316379542323200, 110857799304670627788849414144000, 238987988705420266773820308079698247680000
(list; graph; listen)
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OFFSET
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0,1
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LINKS
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G. Nebe, E. M. Rains and N. J. A. Sloane, Self-Dual Codes and Invariant Theory, Springer, Berlin, 2006.
A. R. Calderbank, E. M. Rains, P. W. Shor and N. J. A. Sloane, Quantum error correction via codes over GF(4), IEEE Trans. Inform. Theory, 44 (1998), 1369-1387.
G. Nebe, E. M. Rains and N. J. A. Sloane, The invariants of the Clifford groups, Des. Codes Crypt. 24 (2001), 99-121.
Index entries for sequences related to Barnes-Wall lattices
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MAPLE
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2^(n^2+n+2) * (2^n - 1) * product('2^(2*i)-1', 'i'=1..n-1);
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CROSSREFS
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2^(2n+2) times order of Chevalley group D_n (2) (cf. A001308). Twice A014115. See also A014116, A003956 (for the complex group).
Sequence in context: A060597 A091479 A016031 this_sequence A132569 A165644 A158506
Adjacent sequences: A001306 A001307 A001308 this_sequence A001310 A001311 A001312
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KEYWORD
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nonn,easy,nice
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com), Peter Shor (shor(AT)math.mit.edu)
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