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A089989

5^(n^2+2n+1)*Product_{j=1..n} (25^j-1).
(history; published version)

#7 by Charles R Greathouse IV at Thu Oct 04 10:28:48 EDT 2012

LINKS

G. Nebe, E. M. Rains and N. J. A. Sloane, <a href="http://www.research.attneilsloane.com/~njas/doc/cliff2.html">Self-Dual Codes and Invariant Theory</a>, Springer, Berlin, 2006.

Discussion

Thu Oct 04

10:28

OEIS Server: https://oeis.org/edit/global/1833

#6 by Russ Cox at Fri Mar 30 16:49:50 EDT 2012

AUTHOR

_N. J. A. Sloane (njas(AT)research.att.com), _, Feb 10 2004

Discussion

Fri Mar 30

16:49

OEIS Server: https://oeis.org/edit/global/110

#5 by N. J. A. Sloane at Fri Feb 27 03:00:00 EST 2009

KEYWORD

nonn,new

nonn

AUTHOR

N. J. A. Sloane (njas, (AT)research.att.com), Feb 10 2004

#4 by N. J. A. Sloane at Sun Jun 29 03:00:00 EDT 2008

LINKS

G. Nebe, E. M. Rains and N. J. A. Sloane, <a href="http://www.research.att.com/~njas/doc/cliff2.html"> Self-Dual Codes and Invariant Theory</a>, Springer, Berlin, 2006.

KEYWORD

nonn,new

nonn

#3 by N. J. A. Sloane at Fri Feb 24 03:00:00 EST 2006

REFERENCES

Nebe-Rains-Sloane, book in progress, Chapter 6.

LINKS

G. Nebe, E. M. Rains and N. J. A. Sloane, <a href="http://www.research.att.com/~njas/doc/cliff2.html"> Self-Dual Codes and Invariant Theory</a>, Springer, Berlin, 2006.

KEYWORD

nonn,new

nonn

#2 by N. J. A. Sloane at Sat Jun 12 03:00:00 EDT 2004

REFERENCES

Nebe-Rains-Sloane, book in progress, Chap Chapter 6,.

CROSSREFS

Cf. A024344 A092299 and A056837 A092301 (p=3), A075579 A092300 and A089989 (p=5), A090768 and A090769 (p=7), A090770 (p=2, although this is the wrong formula in that case).

KEYWORD

nonn,new

nonn

#1 by N. J. A. Sloane at Thu Feb 19 03:00:00 EST 2004

NAME

5^(n^2+2n+1)*Product_{j=1..n} (25^j-1).

DATA

5, 15000, 29250000000, 35703281250000000000, 27239372138671875000000000000000, 12988743471794208526611328125000000000000000000, 3870947187719439049405530095100402832031250000000000000000000000, 721020100095350865678782984846420731628313660621643066406250000000000000000000000000

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).

REFERENCES

Nebe-Rains-Sloane, book in progress, Chap 6,

CROSSREFS

Cf. A001309, A003956.

Cf. A024344 and A056837 (p=3), A075579 and A089989 (p=5), A090768 and A090769 (p=7), A090770 (p=2, although this is the wrong formula in that case).

KEYWORD

nonn,new

AUTHOR

njas, Feb 10 2004

STATUS

approved