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Search: id:A014116
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| A014116 |
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Order of automorphism group of Barnes-Wall lattice in dimension 2^n. |
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+0 4
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| 2, 8, 1152, 696729600, 89181388800, 48126558103142400, 409825748158189771161600, 55428899652335313894424707072000
(list; graph; listen)
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OFFSET
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0,1
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REFERENCES
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J. H. Conway and N. J. A. Sloane, "Sphere Packings, Lattices and Groups", Springer-Verlag, p. 129.
G. E. Wall, On the Clifford collineation..., Nagoya Math. J., 21 (1962), pp. 199-222.
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LINKS
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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.
Index entries for sequences related to Barnes-Wall lattices
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MAPLE
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2^(n^2+n+1) * (2^n - 1) * product('2^(2*i)-1', 'i'=1..n-1); # except for n=3.
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CROSSREFS
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Agrees with A014115 except at n=3. Equals half of A001309. Cf. A003956.
Adjacent sequences: A014113 A014114 A014115 this_sequence A014117 A014118 A014119
Sequence in context: A103085 A084148 A014115 this_sequence A121015 A073630 A027733
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KEYWORD
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nonn
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AUTHOR
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njas
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