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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 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

LINKS

Table of n, a(n) for n=1..31.

Bialostocki A. & Shaska T., Galois groups of prime degree polynomials with nonreal roots. arXiv:math/0601397

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

Cf. A002106, A124938.

Sequence in context: A225258 A162613 A120858 * A279342 A169852 A318189

Adjacent sequences:  A124934 A124935 A124936 * A124938 A124939 A124940

KEYWORD

nonn,more

AUTHOR

Artur Jasinski, Nov 13 2006

EXTENSIONS

More terms from Artur Jasinski, Feb 04 2007

STATUS

approved

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Last modified July 10 15:45 EDT 2020. Contains 335577 sequences. (Running on oeis4.)