Search: id:A008583
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%I A008583
%S A008583 1,1,1,2,3,4,6,8,10,14,18,22,29,36,44,55,67,80,98,117,
%T A008583 138,165,194,226,266,309,356,413,475,542,622,708,802,
%U A008583 911,1029,1157,1304,1462,1633,1827,2036,2261,2514,2785
%N A008583 Molien series for Weyl group E_7.
%D A008583 Coxeter and Moser, Gens. and Relations for Discrete Grps, Table 10.
%D A008583 L. Smith, Polynomial Invariants of Finite Groups, Peters, 1995, p. 199 
               (No. 36).
%H A008583 T. D. Noe, <a href="b008583.txt">Table of n, a(n) for n=0..1000</a>
%H A008583 INRIA Algorithms Project, <a href="http://algo.inria.fr/bin/encyclopedia?Search=ECSnb&argsearch=250">
               Encyclopedia of Combinatorial Structures 250</a>
%H A008583 <a href="Sindx_Mo.html#Molien">Index entries for Molien series</a>
%p A008583 1/((1-x^2)*(1-x^6)*(1-x^8)*(1-x^10)*(1-x^12)*(1-x^14)*(1-x^18));
%o A008583 (MAGMA) MolienSeries(CoxeterGroup("E7")); - from Sergei Haller (sergei(AT)sergei-haller.de), 
               Dec 21 2006
%Y A008583 Sequence in context: A028290 A003107 A014977 this_sequence A053253 A095913 
               A102848
%Y A008583 Adjacent sequences: A008580 A008581 A008582 this_sequence A008584 A008585 
               A008586
%K A008583 nonn,easy,nice
%O A008583 0,4
%A A008583 N. J. A. Sloane (njas(AT)research.att.com).

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