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A014115 Order of a certain Clifford group in dimension 2^n (the automorphism group of the Barnes-Wall lattice for n != 3). +0
4
2, 8, 1152, 2580480, 89181388800, 48126558103142400, 409825748158189771161600, 55428899652335313894424707072000 (list; graph; listen)
OFFSET

0,1

REFERENCES

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.

LINKS

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

MAPLE

2^(n^2+n+1) * (2^n - 1) * product('2^(2*i)-1', 'i'=1..n-1);

CROSSREFS

Agrees with A014116 except at n=3. Cf. A001309, A003956.

Adjacent sequences: A014112 A014113 A014114 this_sequence A014116 A014117 A014118

Sequence in context: A061591 A103085 A084148 this_sequence A014116 A121015 A073630

KEYWORD

nonn

AUTHOR

njas

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Last modified October 12 15:26 EDT 2008. Contains 144830 sequences.


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