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A027381
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Number of irreducible polynomials of degree n over GF(9); dimensions of free Lie algebras.
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4
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1, 9, 36, 240, 1620, 11808, 88440, 683280, 5380020, 43046640, 348672528, 2852823600, 23535749880, 195528140640, 1634056262280, 13726075468992, 115813759112820, 981010688215680, 8338590828280440, 71097458824894320
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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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.
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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
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CROSSREFS
| Cf. A001037.
Sequence in context: A038780 A073984 A036907 * A024120 A204513 A129425
Adjacent sequences: A027378 A027379 A027380 * A027382 A027383 A027384
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KEYWORD
| nonn
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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