%I #11 Nov 18 2024 12:06:50

%S 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,

%T 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,

%U 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

%N Triangle read by rows: row n gives coefficients of Conway polynomial of degree n over GF(2).

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

%D 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.

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

%H R. J. Mathar, <a href="/A141646/b141646.txt">Table of n, a(n), n=0,...,4370</a>.

%H Frank Luebeck, <a href="http://www.math.rwth-aachen.de/~Frank.Luebeck/data/ConwayPol/index.html">Conway polynomials for finite fields</a>.

%H R. J. Mathar, <a href="/A141646/a141646.mp">Maple converter: Convert Frank Luebeck's table of Conway polynomials to OEIS b-files.</a>

%e 1,

%e 1,1,

%e 1,1,1,

%e 1,0,1,1,

%e 1,0,0,1,1,

%e 1,0,0,1,0,1,

%e 1,0,1,1,0,1,1,

%e 1,0,0,0,0,0,1,1,

%e 1,0,0,0,1,1,1,0,1,

%e 1,0,0,0,0,1,0,0,0,1,

%e 1,0,0,0,1,1,0,1,1,1,1,

%e 1,0,0,0,0,0,0,0,0,1,0,1,

%e 1,0,0,0,0,1,1,1,0,1,0,1,1,

%e 1,0,0,0,0,0,0,0,0,1,1,0,1,1,

%e 1,0,0,0,0,0,0,1,0,1,0,1,0,0,1,

%e 1,0,0,0,0,0,0,0,0,0,1,1,0,1,0,1,

%e 1,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,1,

%e 1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,

%e 1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,1,

%e 1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,1,

%e 1,0,0,0,0,0,0,0,0,0,1,1,0,1,1,1,1,0,0,1,1,

%e 1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,1,

%e 1,0,0,0,0,0,0,0,0,0,1,1,1,1,1,0,1,1,0,0,0,0,1,

%e 1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,

%e 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,

%e 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,

%e 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,

%e 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,

%e 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,

%e 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,

%e 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,

%e 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,

%e 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,

%e 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,

%e 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,

%e 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,

%e 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,

%e 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,

%e 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,

%e 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,

%e 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,

%e 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,

%e 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,

%e 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,

%e 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,

%e 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,

%e 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,

%e 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,

%e 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,

%e 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,

%e 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

%o (Magma) // See also MAGMA's ConwayPolynomial(2,n) function.

%Y Cf. A141647, A141648, A141649, A141749.

%K nonn,tabl,changed

%O 0,1

%A _N. J. A. Sloane_, Sep 09 2008

%E Corrected and extended by _Vladeta Jovovic_ and _R. J. Mathar_, Sep 11 2008