  In~\cite{Kim} the author generalized the Conway algebra and constructed the
invariant valued in the generalized Conway algebra defined by applying two
skein relations to crossings, which is called a generalized Conway type
invariant. The generalized Conway type invariant is a generalization of
Homflypt polynomial.
  In this paper we show that an example of links, which have the same value of
Homflypt polynomial, but have different values of the generalized Conway type
invariant. We study a properties of Conway type invariant related to Vassiliev
invariant. In section 3 we discuss about further researches.
