  I propose two simple ways of generating the partitions of (n+1) from the
partitions of n. A recurrence relation for P(n+1), the number of partitions of
(n+1), in terms of P(n) and Q(n), where Q(n) denotes the number of partitions
of n having strictly different last two parts is obtained. Also a generating
function for Q(n) is given. The other method for generating the partitions of
(n+1) from the partitions of n is discussed at the end.
