A115461 Number of monic irreducible polynomials of degree n in GF(3)[x,y].

1, 12, 273, 25520, 6778629, 5132148528, 11368775698280, 74897449398451680, 1476178370884382958936, 87205387550224830516286800, 15450442981642705273095610563240, 8211400746584626963688710296061894800

Offset

0,2

Links

Table of n, a(n) for n=0..11.

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.

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

Crossrefs

Cf. A115457-A115505.

Sequence in context: A341815 A117415 A152129 * A169961 A363384 A220383

Adjacent sequences: A115458 A115459 A115460 * A115462 A115463 A115464

Keyword

nonn

Author

Max Alekseyev, Jan 16 2006

Status

approved