how to generate random integer matrices on constraints?

 x=[4 5 5 5 5 5 5 5 5 ];

and,

1. sum(x)=44 is alway same.
2. As a result,

            x{1}=[4 4 4 5 5 5 5 6 6]
            x{2}=[4 4 5 5 5 5 5 5 6]
            x{3}=[4 4 5 5 6 6 6 8]
            x{4}=[4 4 5 5 5 5 7 9]
            x{5}=[5 5 5 6 6 7 10]
                     .
                     .
                     .
                     .
                     .
                     .
                    etc.

i want to generate this form example.

please help me

Answer 1

[Roger Stafford]

You can make use of the algorithm given for randfixedsumint shown in:

   https://www.mathworks.com/matlabcentral/answers/327656

[Brian Kim]

by the way, i took the constraints. registrable numbers must be [4 5 6 7 8 9 10 11 12]. if apply this, how can i do?