Analogy of sequence A027424 for GF(2)[x]

[Edwin Clark]

On Sat, 13 Sep 2003, Yuval Dekel wrote:

> Let R be the polynomial ring GF(2)[x] and
> a(n) = Number of distinct products f*g with f,g in R and  1 <= deg(f),deg(g) 
> <= n .
> 
> Can someone compute a(n) ?


Here are  the values I get for n from 1 to 8:

3, 18, 72, 262, 975, 3562, 13456, 50765

--Edwin