Tagged Questions

1
vote
1answer
138 views

Ways to partition an n-element set

I've done a couple of searches and haven't found a solution to this here, but if I've missed it please feel free to close the question! I was wondering how many different equivalence relations I ...
27
votes
2answers
395 views

Very curious properties of ordered partitions relating to Fibonacci numbers

I came across some interesting propositions in some calculations I did and I was wondering if someone would be so kind as to provide some explanations of these phenomenon. We call an ordered ...
9
votes
1answer
261 views

Recurrence for the partition numbers

I'm reading Analytic Combinatorics [PDF] book by Flajolet and Sedgewick, and I can't figure out one of the steps in the derivation of the $P_n$ — number of partitions of size $n$ (or coefficients in ...