A003810 Order of simple Chevalley group A_5(q), q = prime power.

20158709760, 21032402889738240, 361310134959341568000, 1383059427750000000000000, 61637759336805268655956377600, 39841906041871272087686291128320, 1234219157861100568481165377536000, 1392357762553459444742198951136000000, 161092184393918097496815608751014338560

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..9.

Formula

a(n) = a(A000961(n+1),5) where a(q,n) is defined in A003793. - Sean A. Irvine, Sep 18 2015

Mathematica

f[m_, n_] := Block[{g, x, y}, g[x_, y_] := x^(y (y + 1)/2) Product[x^k - 1, {k, 2, y + 1}]; g[m, n]/GCD[n + 1, m - 1]]; f[#, 5] & /@ Select[Range[2, 13], PrimePowerQ] (* Michael De Vlieger, Sep 18 2015 *)

Crossrefs

Sequence in context: A234397 A234194 A118466 * A003803 A288081 A172794

Adjacent sequences: A003807 A003808 A003809 * A003811 A003812 A003813

Keyword

nonn,easy

Author

N. J. A. Sloane

Extensions

a(8)-a(9) from Michael De Vlieger, Sep 18 2015

Status

approved