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A003788 Order of universal Chevalley group A_n (4). 1

%I #28 Sep 08 2022 08:44:32

%S 1,60,60480,987033600,258492255436800,1083930404878024704000,

%T 72736898347485916060188672000,78099458182389588115529148326215680000,

%U 1341733356588640095264385107865053233298800640000

%N Order of universal Chevalley group A_n (4).

%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, 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 Geoffrey Critzer, <a href="https://esirc.emporia.edu/handle/123456789/3595">Combinatorics of Vector Spaces over Finite Fields</a>, Master's thesis, Emporia State University, 2018.

%F Numbers so far appear to equal A053291(n)/3. - _Ralf Stephan_, Mar 30 2004

%F a(n) = A(4,n) where A(q,n) is defined in A003787. - _Sean A. Irvine_, Sep 18 2015

%t f[m_, n_] := m^(n (n + 1)/2) Product[m^k - 1, {k, 2, n + 1}];

%t f[4, #] & /@ Range[0, 8] (* _Michael De Vlieger_, Sep 18 2015 *)

%o (Magma) [&*[(4^n - 4^k): k in [0..n-1]]/3: n in [1..8]]; // _Vincenzo Librandi_, Sep 19 2015

%K nonn,easy

%O 0,2

%A _N. J. A. Sloane_

%E One more term from _Sean A. Irvine_, Sep 18 2015

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Last modified March 29 08:13 EDT 2024. Contains 371265 sequences. (Running on oeis4.)