KnowraBell numberLinked fromLinked fromThe 5 pages that link to Bell number, each with the reason it gives.All 5Related 2Narrower topic 2Compared with 1Stirling numbers of the second kindRelated: Summing S(n,k) over k gives the Bell number Bₙ.Exponential generating functionRelated: Bell numbers have an exponential generating function obtained by the exponential formula.Partition of a setNarrower topic: Bell numbers count all possible partitions of a finite set.Faà di Bruno's formulaCompared with: Bell numbers count partitions, while Bell polynomials retain variables that track block sizes.Twelvefold wayNarrower topic: Summing the fixed-box partition counts gives the total over every number of occupied boxes.