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A092299 4*3^(n^2+2n+1)*Product_{j=1..n} (9^j-1). 7
12, 2592, 50388480, 80225312993280, 10358730921842550374400, 108354149159204252828272715366400, 91807063616969429053277006948134413139968000, 6300752103463414524173850924959140409591369032708128768000, 35026261744325078751960598643637064012678383486922588643915999981076480000 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

COMMENTS

The order of the p-Clifford group for an odd prime p is a*p^(n^2+2n+1)*Product_{j=1..n} (p^(2*j)-1), where a = gcd(p+1,4).

LINKS

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.

CROSSREFS

Cf. A001309, A003956.

Cf. A092299 and A092301 (p=3), A092300 and A089989 (p=5), A090768 and A090769 (p=7), A090770 (p=2, although this is the wrong formula in that case).

Sequence in context: A306391 A195536 A010053 * A006272 A111237 A028666

Adjacent sequences:  A092296 A092297 A092298 * A092300 A092301 A092302

KEYWORD

nonn

AUTHOR

N. J. A. Sloane, Feb 10 2004

STATUS

approved

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Last modified January 24 16:34 EST 2020. Contains 331207 sequences. (Running on oeis4.)