A141649 Triangle read by rows: row n gives coefficients of Conway polynomial of degree n over GF(7).

1, 1, 4, 1, 6, 3, 1, 6, 0, 4, 1, 0, 5, 4, 3, 1, 0, 0, 0, 1, 4, 1, 0, 1, 5, 4, 6, 3, 1, 0, 0, 0, 0, 0, 6, 4, 1, 0, 0, 0, 0, 4, 6, 2, 3, 1, 0, 0, 0, 0, 6, 1, 0, 6, 4, 1, 0, 0, 0, 1, 1, 4, 1, 2, 3, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 4, 1, 0, 0, 0, 2, 5, 3, 2, 4, 0, 5, 0, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 4

Offset

0,3

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,...,527.

Frank Luebeck, Conway polynomials for finite fields. [From Vladeta Jovovic, Sep 11 2008]

Example

Triangle begins:
1
1 4
1 6 3
1 6 0 4
1 0 5 4 3

Crossrefs

Sequence in context: A174390 A153017 A038457 * A101347 A200344 A328726

Adjacent sequences: A141646 A141647 A141648 * A141650 A141651 A141652

Keyword

nonn,tabl

Author

N. J. A. Sloane, Sep 09 2008

Extensions

Polynomials n=5 etc. from MAGMA's ConwayPolynomial(7,n) added by R. J. Mathar, Sep 13 2008

Status

approved