I imagine that most who read this blog have already seen it, but for those who haven’t, my article Generating Multiset Partitions has been published in Issue #8 of The Monad.Reader. In it, I discuss the problem of generating multiset partitions in a functional context, and give an implementation in Haskell. The final published version contains many major improvements over the draft version I posted here a while ago; give it a read and let me know what you think if you’re interested!
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blog :: Brent -> [String] 
I just wanted to thank you for writing this piece and making it
available online. I have recently been implementing similar
functionality in Python – it should be in the next release of Sympy.
I went the imperative route and followed Knuth for the actual
algorithm, but your set up of the problem was extremely helpful,
especially the discussion of vector partitions and the ordering
relation on them.
Thanks for leaving a comment—I’m really glad you found it helpful!