A054663 Number of monic irreducible polynomials over GF(5) with zero trace.

1, 2, 8, 30, 124, 516, 2232, 9750, 43400, 195248, 887784, 4068740, 18780048, 87191964, 406900992, 1907343750, 8975758272, 42385503300, 200773540296, 953674218720, 4541306267856, 21674415838068, 103660251783288

Offset: 1

Author

N. J. A. Sloane, Apr 18 2000

Keywords

• nonn
• easy

Comments

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

Links

• F. Ruskey, Number of monic irreducible polynomials over GF(q) with given trace
• F. Ruskey, Number of q-ary Lyndon words with given trace mod q
• F. Ruskey, Number of Lyndon words over GF(q) with given trace

Crossrefs

Cf. A000048, A051841, A046211, A046209, A054661, etc.

Extensions

More terms from James Sellers, Apr 19 2000