72450

Appears in sequences

• A convolution triangle of numbers generalizing Pascal's triangle A007318.at n=32A049327
• Triangle read by rows: T(n,k) is the number of paths in the right half-plane, from (0,0) to (n,0), consisting of steps U=(1,1), D=(1,-1), h=(1,0) and H=(2,0), having k U steps (0 <= k <= floor(n/2)).at n=46A132886
• Triangle read by rows: T(n,k) is the number of weighted lattice paths in L_n having k (1,1)-steps. L_n is the set of lattice paths of weight n that start at (0,0) and end on the horizontal axis and whose steps are of the following four kinds: a (1,0)-step with weight 1; a (1,0)-step with weight 2; a (1,1)-step with weight 2; a (1,-1)-step with weight 1. The weight of a path is the sum of the weights of its steps.at n=55A182880
• Number of (w,x,y,z) with all terms in {1,...,n} and w <= x > y <= z.at n=24A212246
• (Denominators of Cauchy numbers of the first kind c_{2n})/6.at n=33A222560
• a(n) = n*(n+1)*(22*n-19)/6.at n=27A256716
• Expansion of x*(1 + 3*x + x^2)/((1 - x)^5*(1 + x)^4).at n=46A287143
• a(n) = n * A276086(n).at n=46A324580
• Least common multiple of n and A276086(n).at n=46A328584