login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A003807 Order of simple Chevalley group A_2(q), q = prime power. 2
168, 5616, 20160, 372000, 1876896, 16482816, 42456960, 212427600, 270178272, 1425715200, 6950204928, 5644682640, 78156525216, 50778000000, 282027786768, 499631102880, 283991644800, 1098404364288 (list; graph; refs; listen; history; text; internal format)
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, 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..18.

FORMULA

a(n) = a(A000961(n+1),2) 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[#, 2] & /@ Select[Range[2, 36], PrimePowerQ] (* Michael De Vlieger, Sep 18 2015 *)

CROSSREFS

Cf. A000961.

Sequence in context: A231995 A223243 A282614 * A011785 A227433 A003800

Adjacent sequences:  A003804 A003805 A003806 * A003808 A003809 A003810

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified January 25 04:21 EST 2022. Contains 350565 sequences. (Running on oeis4.)