I have an homogeneous ideal (say $I$) and I'm interested in computing the first few values of the Hilbert function. I undestand that doing something like
QQ[['x']](I.hilbert_series()(x)
does give me this, but this seems to require computing the whole Hilbert series which blows up for my problem quickly. Is there a way of getting the first few values without computing the whole thing?