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  "body": "\n## Summary\n\nIn the number theory of [[integer partitions|0JV30XN73Z]], the numbers $p_k(n)$ denote both the number of partitions of $n$ into exactly $k$ parts (that is, sums of $k$ positive integers that add to $n$), and the number of partitions of $n$ into parts of maximum size exactly $k$. These two types of partition are in [[bijection|0GG9TVW90M]] with each other, by a diagonal reflection of their Young diagrams. Their numbers can be arranged into a triangle, the **triangle of partition numbers**, in which the $n$th row gives the partition numbers $p_1(n), p_2(n), \\dots, p_n(n)$:\n",
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