A homotopy coherent nerve for $(\infty,n)$-categories

We study a homotopy coherent nerve for categories strictly enriched over $(\infty,n-1)$-categories, and show it realizes a right Quillen equivalence when valued in Segal category objects in $(\infty,n-1)$-categories. The motivating feature for this specific nerve construction is that it satisfies injective fibrancy, a technical assumption which we plan to exploit in future work towards the study of $(\infty,n)$-limits.