715908428
domain: N
Appears in sequences
- Number of ascents of length 1 in all dispersed Dyck paths of length n (i.e., in all Motzkin paths of length n with no (1,0) steps at positive heights). An ascent is a maximal sequence of consecutive (1,1)-steps.at n=30A191386
- Sum over all peaks of Dyck paths of semilength n of the arithmetic mean of the x and y coordinates.at n=15A258431
- a(n) = 2^(n - 1) + binomial(n, floor(n/2))*(n + 1)/2.at n=28A323988