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A054663 Number of monic irreducible polynomials over GF(5) with zero trace. +0
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; listen)
OFFSET

1,2

COMMENT

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, Nate Kube (fruskey(AT)cs.uvic.ca), Sep 11 2002

LINKS

F. Ruskey, Number of monic irreducible polynomials over GF(q) with zero trace ...

F. Ruskey, Number of q-ary Lyndon words of given trace mod q

F. Ruskey, Number of Lyndon words of given trace

CROSSREFS

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

Sequence in context: A073663 A133915 A074026 this_sequence A054662 A036723 A026693

Adjacent sequences: A054660 A054661 A054662 this_sequence A054664 A054665 A054666

KEYWORD

nonn,easy

AUTHOR

njas, Apr 18 2000

EXTENSIONS

More terms from James A. Sellers (sellersj(AT)math.psu.edu), Apr 19 2000

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Last modified August 19 23:53 EDT 2008. Contains 142930 sequences.


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