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A141646 Triangle read by rows: row n gives coefficients of Conway polynomial of degree n over GF(2). 2
1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,1

COMMENTS

The exponents are taken in decreasing order, starting with X^n.

REFERENCES

J. H. Conway, A tabulation of some information concerning finite fields, in Computers in Mathematical Research, R. F. Churchhouse and J.-C. Hertz, eds., North-Holland, Amsterdam, 1968, pp. 37-50.

C. Jansen et al., An Atlas of Brauer Characters, Oxford Univ. Press, 1995 (see Appendix 1).

LINKS

R. J. Mathar, Table of n, a(n), n=0,...,4370.

Frank Luebeck, Conway polynomials for finite fields.

R. J. Mathar, Maple converter: Convert Frank Luebeck's table of Conway polynomials to OEIS b-files.

EXAMPLE

1,

1,1,

1,1,1,

1,0,1,1,

1,0,0,1,1,

1,0,0,1,0,1,

1,0,1,1,0,1,1,

1,0,0,0,0,0,1,1,

1,0,0,0,1,1,1,0,1,

1,0,0,0,0,1,0,0,0,1,

1,0,0,0,1,1,0,1,1,1,1,

1,0,0,0,0,0,0,0,0,1,0,1,

1,0,0,0,0,1,1,1,0,1,0,1,1,

1,0,0,0,0,0,0,0,0,1,1,0,1,1,

1,0,0,0,0,0,0,1,0,1,0,1,0,0,1,

1,0,0,0,0,0,0,0,0,0,1,1,0,1,0,1,

1,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,1,

1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,

1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,1,

1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,1,

1,0,0,0,0,0,0,0,0,0,1,1,0,1,1,1,1,0,0,1,1,

1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,1,

1,0,0,0,0,0,0,0,0,0,1,1,1,1,1,0,1,1,0,0,0,0,1,

1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,

1,0,0,0,0,0,0,0,1,1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,

1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,1,

1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,1,1,0,1,0,0,1,1,

1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,1,0,1,0,1,1,0,1,

1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,1,0,0,1,0,1,

1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,

1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,1,0,0,0,1,0,1,0,1,1,1,1,

1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,

1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,1,1,0,0,1,

1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,

1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,1,0,0,1,1,1,1,1,0,1,1,1,

1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,1,0,0,1,0,1,

1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0,1,0,1,1,0,0,0,1,1,

1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,

1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,0,0,1,1,1,

1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,1,1,0,1,1,1,0,0,1,0,1,

1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0,1,0,1,1,

1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,

1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,0,1,0,1,0,0,0,0,0,1,1,0,1,0,0,1,1,0,0,1,1,1,

1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,1,

1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,1,

1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,1,0,1,1,0,0,0,0,1,0,0,0,0,0,1,

1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,

1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,

1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,1,1,1,0,1,1,0,0,0,1,0,0,1,

1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,1,1,1,1,1,

1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,1,0,1,1,0,1,1,1,0,1,1,1,0,1,0,1,0,1,0,1 - Vladeta Jovovic, Sep 11 2008

PROG

See also MAGMA's ConwayPolynomial(2, n) function.

CROSSREFS

Cf. A141647, A141648, A141649, A141749.

Sequence in context: A156706 A075743 A136705 * A129573 A181652 A071024

Adjacent sequences:  A141643 A141644 A141645 * A141647 A141648 A141649

KEYWORD

nonn,tabl

AUTHOR

N. J. A. Sloane, Sep 09 2008

EXTENSIONS

Corrected and extended by Vladeta Jovovic and R. J. Mathar, Sep 11 2008

STATUS

approved

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Last modified October 17 22:40 EDT 2019. Contains 328134 sequences. (Running on oeis4.)