A141646 Triangle read by rows: row n gives coefficients of Conway polynomial of degree n over GF(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

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 A330887 A181652

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