http://arxiv1.library.cornell.edu/abs/math/0409237
, in an answer at MathOverflow. I haven't checked yet, but perhaps there are other instances of this arXiv mirror that are broken.
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Jair Taylor's wonderful answer to this MSE question shows you how to find the number of arrangements of the $n$ cards without pairs. The answer is $$\int_0^\infty (q_S(x))^R \, \exp(-x)\,dx,$$ where $q_S$ is the polynomial $q_S(x) = \sum_{i=1}^S \frac{(-1)^{i-S}}{i!} {S-1 \choose i-1}x^i$. Whe...
For example, arxiv-web3.library.cornell.edu/abs/1306.6232 - the link in this post - redirects to: arxiv.org/abs/1306.6232
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