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 A008868 Order of simple Chevalley group E_8 (q), q = prime power. 3
 337804753143634806261388190614085595079991692242467651576160959909068800000, 18830052912953932311099032439972660332140886784940152038522449391826616580150109878711243949982163694448626420940800000, 191797292142671717754639757897512906421357507604216557533558287598236977154127870984484770345340348298409697395609822849492217656441474908160000000000 (list; graph; refs; listen; history; text; internal format)
 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 A095548 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

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Last modified July 12 23:13 EDT 2024. Contains 374257 sequences. (Running on oeis4.)