3. In HW 3 we proved that the number of partitions of n into k parts (i.e. ?(n,k)) is equal to t

Name: 3. In HW 3 we proved that the number of partitions of n into k parts (i.e. ?(n,k)) is equal to the number of partitions of n where the largest part has size k. Use this to find a generating function for ?(n,k).
Uploaded: 2023-03-15T11:15:00-08:00
Duration: 4 min 13 s
Channel: Sri K
Description: 3. In HW 3 we proved that the number of partitions of n into k parts (i.e. ?(n,k)) is equal to the number of partitions of n where the largest part has size k. Use this to find a generating function for ?(n,k).

Question

Vikash Ranjan · Accepted Answer

First, let&#x27;s recall the generating function for the number of partitions of $n$ into $k$ parts,

Question

3. In HW 3 we proved that the number of partitions of n into k parts (i.e. ?(n,k)) is equal to the number of partitions of n where the largest part has size k. Use this to find a generating function for ?(n,k).

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