

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
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OFFSET

1,2


COMMENTS

Also number of 5ary 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 qary 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



