%I #18 Sep 08 2022 08:45:28
%S 0,0,0,0,2,4,3,5,4,21,4,36,3,27,40,49,5,91,2,358,56,27,3,807,79,26,64,
%T 617,2,1896,4
%N Number of non-solvable transitive Galois groups for polynomials of degree n.
%C This sequence is A002106 (total number of transitive Galois groups) - A124937 (number of solvable transitive groups).
%F a(n) = A002106(n) - A124937(n). - _Michel Marcus_, Nov 06 2013
%e a(5) = 2: for polynomials of degree 5 we have 2 non-solvable groups: A_5 (T5_4) and S_5 (T5_5)
%o (GAP) "a(15)= ",l:=AllTransitiveGroups(NrMovedPoints,15,IsSolvable,false); - _Artur Jasinski_, Feb 04 2007
%o (Magma) for g in [1..45] do
%o G:=TransitiveGroup(10,g);
%o IsSolvable(G);
%o end for; /* _Artur Jasinski_, Dec 03 2013 */
%Y Cf. A002106, A124937.
%K nonn,more
%O 1,5
%A _Artur Jasinski_, Nov 13 2006
%E More terms from _Artur Jasinski_, Feb 04 2007
%E a(10) and a(12) corrected by _Artur Jasinski_, Dec 03 2013
%E More terms from _Alois P. Heinz_, Feb 02 2014