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A054662 Number of monic irreducible polynomials over GF(5) with fixed nonzero trace. 2
1, 2, 8, 30, 125, 516, 2232, 9750, 43400, 195250, 887784, 4068740, 18780048, 87191964, 406901000, 1907343750, 8975758272, 42385503300, 200773540296, 953674218750, 4541306267856, 21674415838068, 103660251783288 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Also number of 5-ary Lyndon words with trace 1 mod 5; trace 2 mod 5; trace 3 mod 5; trace 4 mod 5; also number of 5-ary Lyndon words of trace 1 over GF(5), trace 2 over GF(5); trace 3 over GF(5); trace 4 over GF(5).

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: A074026 A054663 A150763 * A150764 A150765 A150766

Adjacent sequences:  A054659 A054660 A054661 * A054663 A054664 A054665

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 15:27 EDT 2020. Contains 338035 sequences. (Running on oeis4.)