I have some simple counting problems, for example, how many n-ary k-tuples, i.e. $(v_0,v_1,\ldots, v_k)$ with $0\le v_i < n$, are there which have $v_0=1$, 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.
Asked: 2014-06-11 07:57:19 +0100
Seen: 806 times
Last updated: Jun 11 '14
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