112028
domain: N
Appears in sequences
- A sum with next-to-central binomial coefficients of even order, Catalan related.at n=7A029760
- Riordan array (1/sqrt(1-4*x), (1/sqrt(1-4*x)-1)/2).at n=47A116395
- Total number of two-element anti-chains over all ordered trees on n edges.at n=9A139262
- Infinite square array read by antidiagonals: a(q,n) is the coefficient of z^n in the series expansion of C(z)^q/(1-4z)^(3/2), where C(z) = (1-sqrt(1-4z))/(2z) is the Catalan function (q,n = 0,1,2,...).at n=52A143019
- Number of 7 X n binary arrays without the pattern 0 1 diagonally, vertically, antidiagonally or horizontally.at n=18A188558
- Number of peaks at height >= 2 in all dispersed Dyck paths of length n (i.e., Motzkin paths of length n with no (1,0) steps at positive heights).at n=18A191309
- Numerator of variance of n-th row of Pascal's triangle.at n=9A301278