irreducible multivariate polynomials

[Max]

Could anybody confirm my computations?

The number of irreducible monic polynomials (w.r.t. deglex order on monomials) in GF(2)[x,y] of degree n=1..10:
6, 35, 694, 26089, 1862994, 253247715, 66799608630, 34698378752226, 35781375988234520, 73534241823793715433

The number of irreducible monic polynomials in GF(3)[x,y] of degree n=1..8:
24, 51, 25336, 6502689, 5057781972, 11309077194436, 74762487919522380, 1475282863838531153664

The number of irreducible monic polynomials in GF(2)[x,y,z] of degree n=1..6:
14, 903, 1034350, 34343703541, 72057077817486762, 19342812032942216095260047

etc. etc.

I'm surprised that these sequences are not in OEIS. Did I miss something?

Max