Golomb-Dickman constant

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In mathematics, the Golomb-Dickman constant arises in the theory of random permutations. Let an be the average – taken over all permutations of a set of size n – of the length of the longest cycle in each permutation. Then the Golomb-Dickman constant is

 \lim_{n\to\infty} \frac{a_n}{n} =
0.62432 99885 43550 87099 29363 83100 83724\dots.

In the language of probability theory, an is the expected length of the longest cycle in a uniformly distributed random permutation of a set of size n.

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