A003851 - OEIS

A003851

Order of simple Chevalley group D_5(q), q = prime power.

23499295948800, 1289512799941305139200, 1154606796534757164318720000, 6807663884896875000000000000000, 52386144472825139642572263782154240000, 42863636354909175368011800612065142374400, 2154683673871373733440812330742751559680000

(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 [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.

Index entries for sequences related to groups.

FORMULA

a(n) = d(A000961(n+1),5) where d(q,n) is defined in A003837. - Sean A. Irvine, Sep 17 2015

MATHEMATICA

d[q_, n_] := q^(n*(n-1)) * (q^n-1) * Product[q^(2*k) - 1, {k, 1, n-1}] / GCD[4, q^n-1]; Table[d[q, 5], {q, Select[Range[20], PrimePowerQ]}] (* Amiram Eldar, Jun 24 2025 *)

CROSSREFS

Cf. A000961, A003808, A003837, A003848, A003850, A003852, A003853, A003854.

Sequence in context: A017544 A221560 A221562 * A003844 A132909 A104834

Adjacent sequences: A003848 A003849 A003850 * A003852 A003853 A003854

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane

EXTENSIONS

More terms from Sean A. Irvine, Sep 17 2015

STATUS

approved