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A124937
Number of solvable transitive Galois groups for polynomials of degree n.
1
1, 1, 2, 5, 3, 12, 4, 45, 30, 24, 4, 265, 6, 36, 64, 1905, 5, 892, 6, 759, 108, 32, 4, 24193, 132, 70, 2328, 1237, 6, 3816, 8
OFFSET
1,3
EXAMPLE
a(5) = 3: for polynomials of degree 5 we have 3 solvable groups: C5 (T5_1), D5 (T5_2) and F5(T5_3)
PROG
(GAP) "a(15)= ", l:=AllTransitiveGroups(NrMovedPoints, 15, IsSolvable, true); - Artur Jasinski, Feb 04 2007
(Magma) // a(10)
for g in [1..45] do
G:=TransitiveGroup(10, g);
IsSolvable(G);
end for;
CROSSREFS
Sequence in context: A225258 A162613 A120858 * A279342 A169852 A318189
KEYWORD
nonn,more
AUTHOR
Artur Jasinski, Nov 13 2006
EXTENSIONS
More terms from Artur Jasinski, Feb 04 2007
STATUS
approved