A162341 a(n) = number of grid points P(x,y) that are covered by a polyedge as the graph of the "mountain path" function for prime numbers, where x=n and y=0..oo.

1, 1, 3, 1, 4, 2, 4, 2, 4, 4, 5, 3, 6, 2, 4, 4, 7, 3, 5, 4, 4, 3, 6, 4, 8, 5, 4, 2, 4, 2, 10, 8, 6, 3, 7, 5, 5, 5, 6, 4, 7, 3, 7, 5, 4, 2, 8, 11, 9, 2, 4, 4, 5, 5, 9, 5, 7, 3, 5, 4, 4, 5, 13, 8, 4, 2, 10, 9, 9, 5, 4, 4, 8, 6, 7, 4, 6, 6, 7, 5, 10, 5, 7, 5, 5, 4, 6, 6, 7, 2, 4, 7, 11, 5, 7, 5, 6, 8, 8, 9, 13, 7, 9