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A058949 Coefficients of monic primitive irreducible polynomials over GF(3) listed in lexicographic order. +0
10
11, 112, 122, 1021, 1121, 1201, 1211, 10012, 10022, 11002, 11122, 11222, 12002, 12112, 12212, 100021, 100211, 101011, 101201, 101221, 102101, 102211, 110021, 110101, 110111, 111011, 111121, 111211, 112001, 112111, 112201, 120001, 120011 (list; graph; listen)
OFFSET

1,1

REFERENCES

R. Church, Tables of irreducible polynomials for the first four prime moduli, Annals Math., 36 (1935), 198-209.

LINKS

T. D. Noe, Table of n, a(n) for n=1..561 (through degree 8)

EXAMPLE

The first few are x+1; x^2+x+2, x^2+2x+2; ...

CROSSREFS

Cf. A058944.

Irreducible over GF(2), GF(3), GF(4), GF(5), GF(7): A058943, A058944, A058948, A058945, A058946. Primitive irreducible over GF(2), GF(3), GF(4), GF(5), GF(7): A058947, A058949, A058952, A058950, A058951.

Sequence in context: A108047 A144784 A030175 this_sequence A075842 A037535 A065834

Adjacent sequences: A058946 A058947 A058948 this_sequence A058950 A058951 A058952

KEYWORD

nonn,easy,nice

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com), Jan 13 2001

EXTENSIONS

Church's table extends through degree 7.

More terms from Jean Gaumont (jeangaum87(AT)yahoo.com), Apr 16 2006

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Last modified December 15 00:47 EST 2009. Contains 170825 sequences.


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