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 A003788 Order of universal Chevalley group A_n (4). 1
 1, 60, 60480, 987033600, 258492255436800, 1083930404878024704000, 72736898347485916060188672000, 78099458182389588115529148326215680000, 1341733356588640095264385107865053233298800640000 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 REFERENCES 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. H. S. M. Coxeter and W. O. J. Moser, Generators and Relations for Discrete Groups, 4th ed., Springer-Verlag, NY, reprinted 1984, p. 131. LINKS Geoffrey Critzer, Combinatorics of Vector Spaces over Finite Fields, Master's thesis, Emporia State University, 2018. FORMULA Numbers so far appear to equal A053291(n)/3. - Ralf Stephan, Mar 30 2004 a(n) = A(4,n) where A(q,n) is defined in A003787. - Sean A. Irvine, Sep 18 2015 MATHEMATICA f[m_, n_] := m^(n (n + 1)/2) Product[m^k - 1, {k, 2, n + 1}]; f[4, #] & /@ Range[0, 8] (* Michael De Vlieger, Sep 18 2015 *) PROG (MAGMA) [&*[(4^n - 4^k): k in [0..n-1]]/3: n in [1..8]]; // Vincenzo Librandi, Sep 19 2015 CROSSREFS Sequence in context: A221936 A225990 A185560 * A222019 A123378 A221692 Adjacent sequences:  A003785 A003786 A003787 * A003789 A003790 A003791 KEYWORD nonn,easy AUTHOR EXTENSIONS One more term from Sean A. Irvine, Sep 18 2015 STATUS approved

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Last modified May 19 04:20 EDT 2022. Contains 353826 sequences. (Running on oeis4.)