190899322

Appears in sequences

• Bell or exponential numbers: number of ways to partition a set of n labeled elements.at n=14A000110
• Number of oriented multigraphs on n labeled arcs (with loops).at n=7A020557
• a(n) = Bell(3*n+2).at n=4A121293
• Sum of all n-digit Bell numbers.at n=8A133120
• Number of palindromic structures of length n.at n=27A188164
• Number of palindromic structures of length n.at n=28A188164
• Number of arrays of n 0..13 integers with new values introduced in order 0..13 but otherwise unconstrained.at n=13A203644
• Number of arrays of n 0..14 integers with new values introduced in order 0..14 but otherwise unconstrained.at n=13A203645
• Number of arrays of n 0..15 integers with new values introduced in order 0..15 but otherwise unconstrained.at n=13A203646
• T(n,k) = Number of n X k nonnegative integer arrays with new values 0 upwards introduced in row major order and no element equal to any horizontal, vertical or antidiagonal neighbor (colorings ignoring permutations of colors).at n=37A208054
• Number of 7Xn nonnegative integer arrays with new values 0 upwards introduced in row major order and no element equal to more than two of its immediate leftward or upward or right-upward antidiagonal neighbors.at n=1A208472
• Number of horizontal and antidiagonal neighbor colorings of the odd squares of an n X 3 array with new integer colors introduced in row major order.at n=9A216079
• Number of horizontal and antidiagonal neighbor colorings of the even squares of an nX3 array with new integer colors introduced in row major order.at n=9A216333
• Number of periodic palindromic structures of length n using an infinite alphabet.at n=27A285013
• Expansion of e.g.f.: exp(exp(-x) - 1).at n=14A292935
• Irregular triangle read by rows where T(n,k) is the number of multiset partitions of a multiset with d = A027750(n,k) copies of each integer from 1 to n/d.at n=37A322786
• E.g.f.: A(x,y) = exp(-1-y) * Sum_{n>=0} (exp(n*x) + y)^n / n!, where A(x,y) = Sum_{n>=0} x^n/n! * Sum_{k=0..n} T(n,k)*y^k, as a triangle of coefficients T(n,k) read by rows.at n=28A326600
• Number of partitions of [n] having exactly one parity change within the partition.at n=29A363550