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Number of different orders of transitive groups for polynomials of degree n.
2

%I #17 Feb 18 2014 22:49:36

%S 1,1,2,4,5,11,7,19,19,26,8,62,9,39,46,90,10,127,8,144,84,40,7,366,79,

%T 47,183,251,8,466,12,487

%N Number of different orders of transitive groups for polynomials of degree n.

%C Total number of transitive groups for polynomial of degree n is given by A002106.

%H Juergen Klueners and Gunter Malle, <a href="http://www.math.uni-duesseldorf.de/~klueners/minimum/minimum.html">A Database for Number Fields</a>

%e a(4) = 4 because we have 4 different orders of transitive groups for polynomial of degree 4.

%e These orders are 4, 8, 12, 24 (total number of groups is 5 but two have that same order 4).

%Y Cf. A002106.

%K nonn,hard

%O 1,3

%A _Artur Jasinski_, May 06 2010

%E a(16)-a(32) from _Artur Jasinski_, Feb 19 2011