What is the number of partitions of $n\in \mathbb{N}$ so that the largest part is at most $k$?
I tried it for a few small cases, but I am unable to find a general way.
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You need to be more specific. For instance, does, $k\in\Bbb N$? – Patricio Sep 13 '21 at 09:09
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Did you read the wikipedia article about partitions ? This variant should be mentioned somewhere. – Peter Sep 13 '21 at 09:10