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A027380 Number of irreducible polynomials of degree n over GF(8); dimensions of free Lie algebras. +0
4
1, 8, 28, 168, 1008, 6552, 43596, 299592, 2096640, 14913024, 107370900, 780903144, 5726600880, 42288908760, 314146029564, 2345624803704, 17592184995840, 132458812569720, 1000799909722368, 7585009898729256 (list; graph; listen)
OFFSET

0,2

REFERENCES

E. R. Berlekamp, Algebraic Coding Theory, McGraw-Hill, NY, 1968, p. 84.

M. Lothaire, Combinatorics on Words. Addison-Wesley, Reading, MA, 1983, p. 79.

G. Viennot, Algebres de Lie Libres et Monoides Libres, Lecture Notes in Mathematics 691, Springer verlag 1978.

LINKS

T. D. Noe, Table of n, a(n) for n=0..200

Y. Puri and T. Ward, Arithmetic and growth of periodic orbits, J. Integer Seqs., Vol. 4 (2001), #01.2.1.

Index entries for sequences related to Lyndon words

CROSSREFS

Cf. A001037.

Sequence in context: A153365 A054857 A110046 this_sequence A058289 A152014 A146977

Adjacent sequences: A027377 A027378 A027379 this_sequence A027381 A027382 A027383

KEYWORD

nonn

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

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Last modified November 27 22:38 EST 2009. Contains 167602 sequences.


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