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This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

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

Original entry on oeis.org

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

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Author

Artur Jasinski, Nov 13 2006

Keywords

Comments

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

Examples

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

Crossrefs

Cf. A002106, A124937.

Programs

  • 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 */

Formula

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

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
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