The Number of Partitions with a Given Largest Part

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The number is the number of ways of partitioning
into parts with largest part
. This is the same as partitioning
into exactly
parts. The function satisfies the recurrence relation
. Move the slider to see the diagonal-by-diagonal construction of the table.
Contributed by: Jon Perry (March 2011)
Open content licensed under CC BY-NC-SA
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"The Number of Partitions with a Given Largest Part"
http://demonstrations.wolfram.com/TheNumberOfPartitionsWithAGivenLargestPart/
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Published: March 7 2011