def is_even(n: int):
import math
return sum(math.floor(abs(math.cos(math.pi/2 * n/i))) for i in range(1, 2 ** 63)) > 0
spoiler
i can't imagine how long it'll take to run, my computer took over 3 minutes to compute one value when the upper bound was replaced with 230. but hey, at least it's O(1).
Don't use recursion. Each call will need to allocate a new stack frame which leads to a slower runtime than an iterative approach in pretty much any language.