166912

Appears in sequences

• A triangle of coefficients of a product polynomial sequence based on Chebyshev T:differentiation of T[(x,n) which gives U(x,n): p(x,n) = Product_{m=0..n} Sum_{i=0..m} (d/dx) T(x,i+1).at n=23A139809
• Triangle read by rows: Number of 2n-step self-avoiding walks on diamond lattice ending at point with x = 2k.at n=33A227715
• Table read by rows: T(n,k) = number of k-gons, k >= 3, formed inside a square with edge length 1 by the straight line segments mutually connecting all vertices and points that divide the sides into segments with lengths equal to the Farey series of order n = A006842(n,m)/A006843(n,m), m = 1..A005728(n).at n=44A358889
• Triangle read by rows. T(n, k) = [x^k] lcm({i + 1 : 0 <= i <= n}) * (Sum_{u=0..k} ( Sum_{j=0..u} x^j * binomial(u, j) * (j + 1)^n ) / (u + 1)).at n=18A362995
• The number of lit cells in weakly increasing partitions of n when light shines from the northwest. Here partitions are represented from left to right by columns of cells.at n=32A366069