Here's a part of the sequence:
(A) (B) (C) (D) (E) 1113122113 311311222113 ...
The letters are the missing members (there are 5 missing members) and A is the first member of the sequence. The last member presented is not the end of the sequence, it can go on forever.
The sequence begins with a single integer. Can you tell which one? Simplest solution takes the cake.