A008868 Order of simple Chevalley group E_8 (q), q = prime power.

337804753143634806261388190614085595079991692242467651576160959909068800000, 18830052912953932311099032439972660332140886784940152038522449391826616580150109878711243949982163694448626420940800000, 191797292142671717754639757897512906421357507604216557533558287598236977154127870984484770345340348298409697395609822849492217656441474908160000000000

Offset

1,1

Comments

Coxeter and Moser p. 131 remark that the first term in this sequence is comparable to Eddington's estimate of the number of protons in the universe. See also the comment in A004231!

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..3.

Maple

q^120*(q^2-1)*(q^8-1)*(q^12-1)*(q^14-1)*(q^18-1)*(q^20-1)*(q^24-1)*(q^30-1);

Mathematica

Table[q^120*(q^2-1)*(q^8-1)*(q^12-1)*(q^14-1)*(q^18-1)*(q^20-1)*(q^24-1)*(q^30-1), {q, Select[Range[4], PrimePowerQ]}] (* Jean-François Alcover, Aug 24 2022 *)

Crossrefs

Cf. A003133, A004231, A178795.

Sequence in context: A095538 A095540 A095542 * A095544 A095546 A378628

Adjacent sequences: A008865 A008866 A008867 * A008869 A008870 A008871

Keyword

nonn,easy,nice,bref

Author

N. J. A. Sloane

Extensions

a(3) added by N. J. A. Sloane, Sep 16 2008

Status

approved