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Use something like that

sage: [v for v in IntegerVectors(n=4,k=3)]
[[4, 0, 0],
 [3, 1, 0],
 [3, 0, 1],
 [2, 2, 0],
 [2, 1, 1],
 [2, 0, 2],
 [1, 3, 0],
 [1, 2, 1],
 [1, 1, 2],
 [1, 0, 3],
 [0, 4, 0],
 [0, 3, 1],
 [0, 2, 2],
 [0, 1, 3],
 [0, 0, 4]]