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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). 3
2, 8, 1152, 2580480, 89181388800, 48126558103142400, 409825748158189771161600, 55428899652335313894424707072000 (list; graph; refs; listen; history; text; internal format)
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

Table of n, a(n) for n=0..7.

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.

Sequence in context: A061591 A103085 A084148 * A014116 A121015 A216619

Adjacent sequences:  A014112 A014113 A014114 * A014116 A014117 A014118

KEYWORD

nonn

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified June 15 22:19 EDT 2019. Contains 324145 sequences. (Running on oeis4.)