a(1) = x,

a(n)‎ = x * ⌈a(n-1)⌉ⁿ for n > 1 and x ∈ p/q > 1,

f(x) returns the smallest integer term a(i), starting with a(1) = x.

Example (f(4/3)=288):

a(1) = 4/3 (our x value),

a(2) = 4/3 * ⌈4/3⌉² = 16/3,

a(3) = 4/3 * ⌈16/3⌉³ = 288,

Does f(7/6) exist? Why or why not?