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A092300 2*5^(n^2+2n+1)*Product_{j=1..n} (25^j-1). 7

%I #6 Oct 04 2012 10:28:50

%S 10,30000,58500000000,71406562500000000000,

%T 54478744277343750000000000000000,

%U 25977486943588417053222656250000000000000000000,7741894375438878098811060190200805664062500000000000000000000000,1442040200190701731357565969692841463256627321243286132812500000000000000000000000000

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

%C 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).

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

%Y Cf. A001309, A003956.

%Y 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).

%K nonn

%O 0,1

%A _N. J. A. Sloane_, Feb 10 2004

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Last modified April 24 13:58 EDT 2024. Contains 371960 sequences. (Running on oeis4.)