cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

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

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%I A008868 #32 Jun 14 2024 22:31:09
%S A008868 337804753143634806261388190614085595079991692242467651576160959909068800000,
%T A008868 18830052912953932311099032439972660332140886784940152038522449391826616580150109878711243949982163694448626420940800000,
%U A008868 191797292142671717754639757897512906421357507604216557533558287598236977154127870984484770345340348298409697395609822849492217656441474908160000000000
%N A008868 Order of simple Chevalley group E_8 (q), q = prime power.
%C A008868 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!
%D A008868 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.
%D A008868 H. S. M. Coxeter and W. O. J. Moser, Generators and Relations for Discrete Groups, 4th ed., Springer-Verlag, NY, reprinted 1984, p. 131.
%p A008868 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);
%t A008868 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 *)
%Y A008868 Cf. A003133, A004231, A178795.
%K A008868 nonn,easy,nice,bref
%O A008868 1,1
%A A008868 _N. J. A. Sloane_
%E A008868 a(3) added by _N. J. A. Sloane_, Sep 16 2008