  We introduce the associated Lah numbers. Some recurrence relations and
convolution identities are established. An extension of the associated Stirling
and Lah numbers to the r-Stirling and r-Lah numbers are also given. For all
these sequences we give combinatorial interpretation, generating functions,
recurrence relations, convolution identities. In the sequel, we develop a
section on nested sums related to binomial coefficient.
