  In the case of $(\infty,1)$-categories, the homotopy coherent nerve gives a
right Quillen equivalence between the models of simplicially enriched
categories and of quasi-categories. This shows that homotopy coherent diagrams
of $(\infty,1)$-categories can equivalently be defined as functors of
quasi-categories or as simplicially enriched functors out of the homotopy
coherent categorifications.
  In this paper, we construct a homotopy coherent nerve for
$(\infty,n)$-categories. We show that it realizes a right Quillen equivalence
between the models of categories strictly enriched in $(\infty,n-1)$-categories
and of Segal category objects in $(\infty,n-1)$-categories. This similarly
enables us to define homotopy coherent diagrams of $(\infty,n)$-categories
equivalently as functors of Segal category objects or as strictly enriched
functors out of the homotopy coherent categorifications.
