a(1)=a(2)=1; a(n) = a(n-2) + a(n-1) + (number of terms from among {a(1), a(2), ..., a(n-1)} which are prime).

A128609

a(1)=a(2)=1; a(n) = a(n-2) + a(n-1) + (number of terms from among {a(1), a(2), ..., a(n-1)} which are prime).