A115465 Number of monic irreducible polynomials of degree n in GF(5)[x,y].

1, 30, 3410, 2330240, 7549603600, 118965950703744, 9309505329218297280, 3637689729211851543816960, 7105314552536912564123328420000, 69388718760088702173445263653542192000

Offset

0,2

Links

Table of n, a(n) for n=0..9.

Max Alekseyev, Formula for the number of monic irreducible polynomials in a finite field

Max Alekseyev, PARI scripts for various problems

J. von zur Gathen and K. Ziegler, Survey on counting special types of polynomials, arXiv preprint arXiv:1407.2970 [math.AC], 2014.

Xiang-dong Hou and Gary L. Mullen, Number of Irreducible Polynomials and Pairs of Relatively Prime Polynomials in Several Variables over Finite Fields, arXiv:0811.3986 [math.NT], 2008.

Konstantin Ziegler, Counting Classes of Special Polynomials, Doctoral Dissertation, University of Bonn, June 2014.

Crossrefs

Cf. A115457-A115505.

Sequence in context: A265855 A289395 A338962 * A152131 A159993 A153470

Adjacent sequences: A115462 A115463 A115464 * A115466 A115467 A115468

Keyword

nonn

Author

Max Alekseyev, Jan 16 2006

Status

approved