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%I #13 Sep 08 2022 08:45:28
%S 1,1,2,5,3,12,4,45,30,24,4,265,6,36,64,1905,5,892,6,759,108,32,4,
%T 24193,132,70,2328,1237,6,3816,8
%N Number of solvable transitive Galois groups for polynomials of degree n.
%H Bialostocki A. & Shaska T., <a href="http://arxiv.org/abs/math/0601397">Galois groups of prime degree polynomials with nonreal roots.</a> arXiv:math/0601397
%e a(5) = 3: for polynomials of degree 5 we have 3 solvable groups: C5 (T5_1), D5 (T5_2) and F5(T5_3)
%o (GAP) "a(15)= ",l:=AllTransitiveGroups(NrMovedPoints,15,IsSolvable,true); - _Artur Jasinski_, Feb 04 2007
%o (Magma) (*a(10)*)
%o for g in [1..45] do
%o G:=TransitiveGroup(10,g);
%o IsSolvable(G);
%o end for;
%Y Cf. A002106, A124938.
%K nonn,more
%O 1,3
%A _Artur Jasinski_, Nov 13 2006
%E More terms from _Artur Jasinski_, Feb 04 2007
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