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

1,2

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

Table of n, a(n) for n=1..23.

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.

Sequence in context: A150761 A150762 A074026 * A150763 A054662 A150764

Adjacent sequences: A054660 A054661 A054662 * A054664 A054665 A054666

Keyword

nonn,easy

Author

N. J. A. Sloane, Apr 18 2000

Extensions

More terms from James A. Sellers, Apr 19 2000

Status

approved