a puxxle

[Floor en Lyanne van Lamoen]

Dear all,

> >:%S A117713 1,3,8,18,__,89,189
> >:%N A117713 This sequence was a question on a civil service test a friend
> of
> >mine took. They had to fill in the blank number. Is there an answer to
> this??.

For our amusement the following recursion:

u(n) = 18.5u(n-1)-11u(n-2)-53.5u(n-3)-43.5 gives the above sequence, with 41
as the number to fill in. 
When the sequence is extended, 189 is the last integer.

Kind regards,
Floor.