What is the notation for the multisets of R?

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The set of sets of elements of $R$, also known as powerset of $R$ can be typeset $2^R$. I am now interested in the set of multisets of elements in $R$. How is it called? Is there a standard notation?

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Multisets are just functions $R \to \mathbb{N}$ (with $0 \in \mathbb{N}$, thanks to Zev Chonoles for emphasizing that), so $\mathbb{N}^R$ might be what you are looking for. However, I am not sure that there is established notation, it varies among the books and articles and I think it ts best to clearly state what you mean, just to avoid confusion.