Regarding the game in which one takes an

ordered set of numbers (e.g.

four fours) and arranges them in an

expression that

evaluates to a target number, it is possible to obtain any natural number starting with

, using

trig functions:

cos(0) = 1.

for all positive n,

sec(arctan(n^{½})) = (n+1)^{½}.

The rest is left to the reader.