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Search: id:A003956
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| A003956 |
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Order of complex Clifford group of degree 2^n arising in quantum coding theory. |
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+0
13
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| 8, 192, 92160, 743178240, 97029351014400, 203286581427673497600, 6819500449352277792129024000, 3660967964237442812098963052691456000, 31446995505814020383166371418359014222725120000
(list; graph; listen)
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OFFSET
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0,1
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REFERENCES
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B. Runge, Codes and Siegel modular forms, Discrete Math. 148 (1996), 175-204.
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LINKS
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T. D. Noe, Table of n, a(n) for n=0..20
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.
G. Nebe, E. M. Rains and N. J. A. Sloane, Self-Dual Codes and Invariant Theory, Springer, Berlin, 2006.
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MAPLE
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2^(n^2+2*n+3)*product( 4^j-1, j=1..n);
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CROSSREFS
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Cf. A014116, A014115, A001309, A027672. Equals twice A027638.
Sequence in context: A003435 A071303 A128406 this_sequence A041269 A103500 A119299
Adjacent sequences: A003953 A003954 A003955 this_sequence A003957 A003958 A003959
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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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