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Number of k-tuples of non-negative integers whose sum equals a given integer
Does the sum over the non-negative integers,
$$
\sum\limits_{ {i_1, \ldots i_k \geq 0:\\\ i_1+\ldots i_k=L }} 1
$$
have a closed expression, where $L$ and $k$ are some integers?
- 200
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Multiplicity of integer partitions in iterative process
Let $(M_k)_{k\geq0}$ be a sequence of multisets. The multiset $M_0=\{[\:]\}$ has only one element, which is an empty sequence. For positive $k$, $M_k$ is a multiset of sequences of integers sorted in ...
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