Do you mean sequences for both scales simultaneously?
If not simultaneously:
1,2,3,4,5,6,7
is pretty linear
and 1,10,100,1000,10000
is pretty logarithmic
So is 2,4,8,16,32,64 as long as you are in the log of base 2.
If simultaneously, I think 1,1,1,1,1,1,1 is both a linear sequence (one that is increasing by 0), and a logarithmic one of base 1.