A003803 - OEIS

A003803

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

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

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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 A384387

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