MathDB

Consider a grid of all lattice points

(m, n)

with

m, n

between

1

and

125

. There exists a “path” between two lattice points

(m_1, n_1)

and

(m_2, n_2)

on the grid if

m_1n_1 = m_2n_2

or if

m_1/n_1 = m_2/n_2

. For how many lattice points

(m, n)

on the grid is there a sequence of paths that goes from

(1, 1)

(m, n

10