$ jq -M -n -c -r -f Ordered_partitions.jq

partitions []:
[]

partitions [0,0,0]:
[[],[],[]]

partitions [1,1,1]:
[[1],[2],[3]]
[[1],[3],[2]]
[[2],[1],[3]]
[[2],[3],[1]]
[[3],[1],[2]]
[[3],[2],[1]]

partitions [2,0,2]:
[[1,2],[],[3,4]]
[[1,3],[],[2,4]]
[[1,4],[],[2,3]]
[[2,3],[],[1,4]]
[[2,4],[],[1,3]]
[[3,4],[],[1,2]]