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%I #15 May 03 2019 08:39:12
%S 1,2,8,30,124,516,2232,9750,43400,195248,887784,4068740,18780048,
%T 87191964,406900992,1907343750,8975758272,42385503300,200773540296,
%U 953674218720,4541306267856,21674415838068,103660251783288
%N Number of monic irreducible polynomials over GF(5) with zero trace.
%C Also number of 5-ary Lyndon words with trace 0 mod 5; also number of Lyndon words of trace 0 over GF(5). - _Frank Ruskey_ and Nate Kube, Sep 11 2002
%H F. Ruskey, <a href="http://combos.org/Tpoly">Number of monic irreducible polynomials over GF(q) with given trace</a>
%H F. Ruskey, <a href="http://combos.org/TlyndonZk">Number of q-ary Lyndon words with given trace mod q</a>
%H F. Ruskey, <a href="http://combos.org/TlyndonFk">Number of Lyndon words over GF(q) with given trace</a>
%Y Cf. A000048, A051841, A046211, A046209, A054661, etc.
%K nonn,easy
%O 1,2
%A _N. J. A. Sloane_, Apr 18 2000
%E More terms from _James A. Sellers_, Apr 19 2000