27644437

Properties

Appears in sequences

• Bell or exponential numbers: number of ways to partition a set of n labeled elements.at n=13A000110
• Prime Bell numbers (A000110).at n=3A051131
• Numerator of coefficients of power series for exp(exp(x)-1).at n=13A076903
• Duplicate of A051131.at n=3A078748
• Number of partitions of an n-element set that have at least one odd block.at n=12A089004
• Bisection of Bell numbers, A000110.at n=6A099977
• a(n) = Bell(3*n+1).at n=4A121292
• Sum of all n-digit Bell numbers.at n=7A133120
• Odd Bell numbers.at n=9A134715
• Largest prime factor of n-th Bell number A000110(n) (or 1 if A000110(n) = 1).at n=13A144293
• Triangle, A000110 in every column > 0, shifted down twice.at n=49A173108
• Triangle read by rows: T(n,k) is the number of permutations of {1,2,...,n} having k nonincreasing cycles (0<=k<=floor(n/3)). A cycle (b(1), b(2), ...) is said to be increasing if, when written with its smallest element in the first position, it satisfies b(1) < b(2) < b(3) < ... .at n=35A186756
• Number of palindromic structures of length n.at n=25A188164
• Number of palindromic structures of length n.at n=26A188164
• Number of set partitions of {1, ..., n} that avoid 7-nestings.at n=13A192128
• Denominator of Sum_{i=0..n-1} B(i)/B(n), where B(i) = A000110(i) are the Bell numbers.at n=13A192987
• Number of arrays of n 0..12 integers with new values introduced in order 0..12 but otherwise unconstrained.at n=12A203643
• Number of arrays of n 0..13 integers with new values introduced in order 0..13 but otherwise unconstrained.at n=12A203644
• Number of arrays of n 0..14 integers with new values introduced in order 0..14 but otherwise unconstrained.at n=12A203645
• Number of arrays of n 0..15 integers with new values introduced in order 0..15 but otherwise unconstrained.at n=12A203646