Search: id:A001034
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%I A001034 M5318 N2311
%S A001034 60,168,360,504,660,1092,2448,2520,3420,4080,5616,6048,6072,7800,
%T A001034 7920,9828,12180,14880,20160,25308,25920,29120,32736,34440,39732,51888,
%U A001034 58800,62400,74412,95040,102660,113460,126000,150348,175560,178920
%N A001034 Orders of non-cyclic simple groups (without repetition).
%C A001034 This comment is about the four sequences A001034, A060793, A056866, A056868: 
               The Feit-Thompson theorem says that a finite group with odd order 
               is solvable, hence apart from the first trivial term of A060793 all 
               the other numbers in these sequences are even. - Ahmed Fares (ahmedfares(AT)my-deja.com), 
               May 08 2001
%D A001034 C. Cato, The orders of the known simple groups as far as one trillion, 
               Math. Comp., 31 (1977), 574-577.
%D A001034 J. H. Conway, R. T. Curtis, S. P. Norton, R. A. Parker and R. A. Wilson, 
               ATLAS of Finite Groups. Oxford Univ. Press, 1985.
%D A001034 Dickson L.E. Linear groups, with an exposition of the Galois field theory 
               (Teubner, 1901), p. 309.
%D A001034 M. Hall, Jr., A search for simple groups of order less than one million, 
               pp. 137-168 of J. Leech, editor, Computational Problems in Abstract 
               Algebra. Pergamon, Oxford, 1970.
%D A001034 N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 
               (includes this sequence).
%D A001034 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, 
               Academic Press, 1995 (includes this sequence).
%H A001034 David A. Madore, <a href="b001034.txt">Table of n, a(n) for n = 1..491</
               a> [taken from link below]
%H A001034 L. E. Dickson, <a href="http://cdl.library.cornell.edu/Hunter/hunter.pl?handle=cornell.library.math/
               05110001&id=5">Linear Groups with an Exposition of the Galois Field 
               Theory</a> (page images), Dover, NY, 1958, p. 309.
%H A001034 David A. Madore, <a href="http://www.eleves.ens.fr:8080/home/madore/math/
               simplegroups.html">More terms</a>
%H A001034 <a href="Sindx_Gre.html#groups">Index entries for sequences related to 
               groups</a>
%Y A001034 Cf. A000001, A000679, A005180, A001228, A060793, A056866, A056868, A119630.
%Y A001034 Cf. A109379 (orders with repetition), A119648 (orders that are repeated).
%Y A001034 Sequence in context: A044773 A118671 A109379 this_sequence A119630 A112827 
               A082529
%Y A001034 Adjacent sequences: A001031 A001032 A001033 this_sequence A001035 A001036 
               A001037
%K A001034 nonn,nice
%O A001034 1,1
%A A001034 N. J. A. Sloane (njas(AT)research.att.com), Simon Plouffe (simon.plouffe(AT)gmail.com)

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