%I #9 Sep 08 2022 08:44:39

%S 1,1,1,2,3,4,6,8,10,14,18,22,29,36,43,54,66,78,95,113,132,157,184,212,

%T 248,287,327,377,431,487,555,628,704,794,891,992,1110,1236,1367,1518,

%U 1680,1848,2039,2243,2455,2694

%N Expansion of Molien series for automorphism group (2.Weyl(E6)) of E6 lattice.

%D J. H. Conway and N. J. A. Sloane, "Sphere Packings, Lattices and Groups", Springer-Verlag, p. 125.

%H <a href="/index/Mo#Molien">Index entries for Molien series</a>

%o (Magma) L := Lattice("E",6); G1 := AutomorphismGroup(L); G2 := sub<GL(6,Rationals())|Generators(G1)>; MS<t> := MolienSeries(G2); MS;

%Y Even part of series in A008584.

%K nonn

%O 0,4

%A _N. J. A. Sloane_.