  In this note we show that the set mdeg(Aut(C^3)) mdeg(Tame(C^3)) is not
empty. Moreover we show that this set has infinitely many elements. Since for
the famous Nagata's example N of wild automorphism, mdeg N =(5,3,1) is an
element of mdeg(Tame(C^3)) and since for other known examples of wild
automorphisms the multidegree is of the form (1,d_2,d_3) (after permutation if
neccesary), then we give the very first exmple of wild automorphism F of C^3
such that mdeg F does not belong to mdeg(Tame(C^3)).
  We also show that, if d_1,d_2 are odd numbers such that gcd (d_1,d_2) =1,
then (d_1,d_2,d_3) belongs to mdeg(Tame(C^3)) if and only if d_3 is a linear
combination of d_1,d_2 with natural coefficients. This a crucial fact that we
use in the proof of the main result.
