A003803 Order of universal Chevalley group A_5 (q), q = prime power.

20158709760, 42064805779476480, 1083930404878024704000, 2766118855500000000000000, 369826556020831611935738265600, 39841906041871272087686291128320, 2468438315722201136962330755072000

Offset

1,1

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 [for best online version see https://oeis.org/wiki/Welcome#Links_to_Other_Sites], 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

Table of n, a(n) for n=1..7.

Formula

a(n) = A(A000961(n+1),5) 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[#, 5] & /@ Select[Range[2, 10], PrimePowerQ] (* Michael De Vlieger, Sep 18 2015 *)

Crossrefs

Sequence in context: A234194 A118466 A003810 * A288081 A172794 A068243

Adjacent sequences: A003800 A003801 A003802 * A003804 A003805 A003806

Keyword

nonn,easy

Author

N. J. A. Sloane

Extensions

a(7) from Sean A. Irvine, Sep 18 2015

Status

approved