Question: How to make the rows of a matrix into a sequence

I am trying to find a way to take the rows of a matrix and put them in a sequence.  For example if i have the matrix 


I want to rewrite it as S:= {111222333}.  

Sorry if this is not clear.  I know how to create a sequence, but I want to be able to use the Matrix and output a sequence without manually inputing the numbers.  

Thank you in advance for your help.  

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