What comes next in the following sequence?

1, 1, 2, 5, 21, 233, 10946, ?...?

The xth given sequence corresponds to F(F(x)) where F(n) is the nth term of the Fibonacci sequence.

Thus,

F(F(1)) = 1

F(F(2)) = 1

F(F(3)) = 2

F(F(4)) = 5

F(F(5)) = 21

F(F(6)= 233

F(F(7))=10946

F(F(8)=5702887

Thus, the required missing term is 5702887

Nice Puzzle.

*Edited on ***March 11, 2007, 12:46 pm**