I have some simple counting problems, for example, how many n-ary k-tuples, i.e. (v0,v1,…,vk) with 0≤vi<n, are there which have v0=1, and m non-zero coordinates.
What sort of functionality is there is Sage or other computer algebra systems for answering such questions for general n,k and m?
I'm not quite sure how to interpret your question, but do you mean integer vectors?
they are a restricted class of integer vectors, since every vector would have the same number of coordinates, k, and the maximum in each coordinate is also fixed at n. edit: the biggest difference, however, is that I think IV computes all of the vectors with the given parameters, whilst I want algebraic answers for general parameters.
But I'm wondering whether they might have that built in as well...
Asked: 10 years ago
Seen: 952 times
Last updated: Jun 11 '14
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