KnowraStirling numbers of the second kindLinked fromLinked fromThe 10 pages that link to Stirling numbers of the second kind, each with the reason it gives.All 10Related 6Compared with 4Binomial coefficientCompared with: It counts set partitions, not selections of a single subset.Bernoulli numbersRelated: They offer an alternative combinatorial route to formulas for Bernoulli numbers.Stirling's approximationCompared with: Despite the shared name, these combinatorial numbers are distinct from Stirling's approximation.Exponential generating functionRelated: Their bivariate generating function records labeled set partitions by elements and blocks.Partition of a setRelated: They count partitions by their number of blocks.Stars and barsCompared with: It counts partitions of distinct objects, unlike distributions of identical objects.Bell numberRelated: Summing S(n,k) over k gives the Bell number Bₙ.Faà di Bruno's formulaRelated: They count terms when the formula is specialized to repeated derivatives of an exponential composition.Lah numberCompared with: Removing the order inside each Lah block yields this less restrictive partition count.Twelvefold wayRelated: These numbers count distributions among indistinguishable boxes when none may be empty.