Fibonacci-like property of partition function
Abstract
The main result of the paper is the Fibonacci-like property of the partition function. The partition function p(n) has a property: p(n) ≤ p(n-1) + p(n-2). Our result shows that if we impose certain restrictions on the partition, then the inequality becomes an equality. Furthermore, we extend this result to cases with a greater number of summands.
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