113634

Appears in sequences

• Motzkin numbers: number of ways of drawing any number of nonintersecting chords joining n (labeled) points on a circle.at n=14A001006
• A bisection of the Motzkin numbers A001006.at n=7A026945
• Expansion of (1 + x - sqrt(1 - 2*x - 3*x^2)) / 2 in powers of x.at n=16A086246
• Triangle read by rows: T(n,k)=number of ordered trees with n edges and k branch nodes at odd height.at n=40A091958
• Triangle read by rows: T(n,k) is the number of short bushes with n edges and having the leftmost leaf at height k (a short bush is an ordered tree with no nodes of outdegree 1).at n=56A106489
• Even Motzkin numbers.at n=4A134718
• A signed variant of the Motzkin numbers.at n=15A166587
• Expansion of (3 -x -sqrt(1-2*x-3*x^2))/2.at n=16A168049
• A permutation of Motzkin numbers by reversal of indices in blocks of length 7.at n=7A180352
• Number of Dyck paths of semilength n avoiding the consecutive step pattern given by the binary expansion of n, where 1=U=(1,1) and 0=D=(1,-1).at n=14A243754
• Triangle read by rows: Number of ideals in Partial Brauer Monoid PB_n.at n=35A276773
• Irregular triangle read by rows: T(n,m) = number of lattice paths of type {A^Q}_R terminating at point (n, m).at n=49A291082