[math-fun] bosebola?

If you uniformly sample from the partitions of an integer N, and interpret the sequence of parts, sorted largest to smallest, as a (decreasing) function y(x), then in the limit of large N the y(x) of the “typical" partition satisfies (after rescaling) (e^x-1)(e^y-1) = 1 Does this curve have a name? -Veit