  Exponentiating the hypergeometric series gives a recursion relation for
integer sequences which are generalizations of conventional Bell numbers. The
corresponding associated Stirling numbers of the second kind are also generated
and investigated. For the lowest order generalisation, one can give a
combinatorial interpretation of these 'Bell' numbers, and of some Stirling
numbers associated with them. We also consider these analogues of Bell numbers
in the case of restricted partitions.
