login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A115457 Number of monic irreducible polynomials of degree n in GF(2)[x,y]. 50

%I #17 Jun 09 2015 14:56:14

%S 1,6,35,694,26089,1862994,253247715,66799608630,34698378752226,

%T 35781375988234520,73534241823793715433,301714422751259316744750,

%U 2473763407036784492590791565,40547483778956508623734286010210

%N Number of monic irreducible polynomials of degree n in GF(2)[x,y].

%H Max Alekseyev, <a href="http://www.microsofttranslator.com/bv.aspx?from=&amp;to=en&amp;a=http://dxdy.ru/post7034.html">Formula for the number of monic irreducible polynomials in a finite field</a>

%H Max Alekseyev, <a href="http://home.gwu.edu/~maxal/gpscripts/">PARI scripts for various problems</a>

%H Arnaud Bodin, <a href="http://arxiv.org/abs/0706.0157">Number of irreducible polynomials in several variables over finite fields</a>, Amer. Math. Monthly, 115 (2008), 653-660.

%H J. von zur Gathen, K. Ziegler, <a href="http://arxiv.org/abs/1407.2970">Survey on counting special types of polynomials</a>, arXiv preprint arXiv:1407.2970, 2014

%H Konstantin Ziegler, <a href="http://hss.ulb.uni-bonn.de/2015/3981/3981.pdf">Counting Classes of Special Polynomials</a>, Doctoral Dissertation, University of Bonn, June 2014.

%Y Cf. A122743.

%Y Cf. A115458-A115505.

%K nonn

%O 0,2

%A _Max Alekseyev_, Jan 16 2006

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified March 28 22:04 EDT 2024. Contains 371254 sequences. (Running on oeis4.)