This site is supported by donations to The OEIS Foundation.



Annual Appeal: Please make a donation to keep the OEIS running. In 2018 we replaced the server with a faster one, added 20000 new sequences, and reached 7000 citations (often saying "discovered thanks to the OEIS").
Other ways to donate

(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A001309 Order of real Clifford group L_n connected with Barnes-Wall lattices in dimension 2^n. 12
2, 16, 2304, 5160960, 178362777600, 96253116206284800, 819651496316379542323200, 110857799304670627788849414144000, 238987988705420266773820308079698247680000 (list; graph; refs; listen; history; text; internal format)



Table of n, a(n) for n=0..8.

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

Index entries for sequences related to groups


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


a[0] = 2; a[n_] := 2^(n^2+n+2) * (2^n-1) * Product[2^(2*i)-1, {i, 1, n-1}]; Table[a[n], {n, 0, 8}] (* Jean-Fran├žois Alcover, Jul 16 2015, after Maple *)


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 * A132569 A165644 A203315

Adjacent sequences:  A001306 A001307 A001308 * A001310 A001311 A001312




N. J. A. Sloane, Peter Shor



Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified December 16 12:37 EST 2018. Contains 318160 sequences. (Running on oeis4.)