Yes 33 is the answer
length 0 : 0
length 1 : 0
length 2 : 1
length 3 : 6
length 4 : 12
length 5 : 10
length 6 : 4
length 7 : 0
length 8 : 0
This is output of a program that tells number of ways to reach from source to destination of path length 'k'
May be it helps :p