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number of blocks, with $x$ marking a block: the coefficient of $x^k$ is how many partitions have exactly $k$ of them.'+ comment-bell: These are the Bell polynomials in one variable. The multivariate family+ $B_{n,k}(x_1, x_2, \dots)$ is a separate table HREF{Partial_Bell_polynomials},+ and the two meet at $T_n(x) = \sum_k B_{n,k}(1, 1, \dots)\, x^k$. Links: Wiki:
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