Analogy of A018805 for the ring GF(2)[x]

[Yuval Dekel]

Let R be the polynomial ring GF(2)[x] and a(n) be the cardinality of (f,g) 
in RxR with :
{(f,g): 1<=deg(f),deg(g)<=n, 1=gcd(f,g)} .

Can someone compute a(n) ? is it in the OEIS ?

Thanks,
Yuval

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