  The normalized Yamada polynomial is a polynomial invariant in variable A for
theta-curves. In this work, we show that the coefficients of the power series
obtained from this polynomial by the substitution A=e^x=1+x+x^2/2+x^3/6+... are
finite-type invariants for theta-curves although the coefficients of original
polynomial are not. A similar result can be obtained in the case of Yokota
polynomial for theta-curves.
