103995

Appears in sequences

• Place n points on each of the three sides of a triangle, 3n points in all; a(n) = number of nondegenerate triangles that can be constructed using these points (plus the 3 original vertices) as vertices.at n=28A130748
• Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, 0, 0), (-1, 1, 1), (0, -1, 0), (0, 1, -1), (1, 1, 1)}.at n=9A149765
• Number of Dyck paths of semilength n, having no ascents and no descents of length 1, and having no peaks at even level.at n=22A167638
• a(n) = 4*p(n-1)*p(n+1) - p(n)^2, where p(k) = k-th prime.at n=40A327447