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A054663 Number of monic irreducible polynomials over GF(5) with zero trace. 1
1, 2, 8, 30, 124, 516, 2232, 9750, 43400, 195248, 887784, 4068740, 18780048, 87191964, 406900992, 1907343750, 8975758272, 42385503300, 200773540296, 953674218720, 4541306267856, 21674415838068, 103660251783288 (list; graph; refs; listen; history; text; internal format)
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

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Last modified October 27 17:25 EDT 2020. Contains 338035 sequences. (Running on oeis4.)