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Order of (usually) simple Chevalley group D_n (3).
9

%I #13 Jun 14 2024 22:31:08

%S 1,144,6065280,4952179814400,1289512799941305139200,

%T 6762844700608770238252960972800,

%U 11470635634813395742481912276441576767488000,393736985584514548835738283681336315795223487793070080000

%N Order of (usually) simple Chevalley group D_n (3).

%D J. H. Conway, R. T. Curtis, S. P. Norton, R. A. Parker and R. A. Wilson, ATLAS of Finite Groups. Oxford Univ. Press, 1985 [for best online version see https://oeis.org/wiki/Welcome#Links_to_Other_Sites], p. xvi.

%D H. S. M. Coxeter and W. O. J. Moser, Generators and Relations for Discrete Groups, 4th ed., Springer-Verlag, NY, reprinted 1984, p. 131.

%H <a href="/index/Gre#groups">Index entries for sequences related to groups</a>

%F a(n) = d(3,n) where d(q,n) = D(q,n) / gcd(4, q^n-1) and D(q,n) as defined in A003830. - _Sean A. Irvine_, Sep 17 2015

%K nonn,easy

%O 1,2

%A _N. J. A. Sloane_

%E Fixed offset, one more term, and formula from _Sean A. Irvine_, Sep 17 2015