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
"The Number of Partitions with a Given Largest Part"
Wolfram Demonstrations Project
Published: March 7 2011