A124938 Number of non-solvable transitive Galois groups for polynomials of degree n.

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, 617, 2, 1896, 4

Offset

1,5

Comments

This sequence is A002106 (total number of transitive Galois groups) - A124937 (number of solvable transitive groups).

Links

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

Formula

a(n) = A002106(n) - A124937(n). - Michel Marcus, Nov 06 2013

Example

a(5) = 2: for polynomials of degree 5 we have 2 non-solvable groups: A_5 (T5_4) and S_5 (T5_5)

Prog

(GAP) "a(15)= "; l:=AllTransitiveGroups(NrMovedPoints, 15, IsSolvable, false); # Artur Jasinski, Feb 04 2007
(Magma) for g in [1..45] do
G:=TransitiveGroup(10, g);
IsSolvable(G);
end for; /* Artur Jasinski, Dec 03 2013 */

Crossrefs

Cf. A002106, A124937.

Sequence in context: A195782 A053049 A306762 * A198342 A081725 A228083

Adjacent sequences: A124935 A124936 A124937 * A124939 A124940 A124941

Keyword

nonn,more,changed

Author

Artur Jasinski, Nov 13 2006

Extensions

More terms from Artur Jasinski, Feb 04 2007

a(10) and a(12) corrected by Artur Jasinski, Dec 03 2013

More terms from Alois P. Heinz, Feb 02 2014

Status

approved