A sequence [i]s[/i]([i]x[/i]) is shown in blue. Determine the value of [i]f[/i]([i]x[/i]) such that all of the circles shown are purple where [i]s[/i]([i]x[/i]) = [i]f[/i]([i]x[/i]) for [i]x[/i] = 1 through [i]x[/i] = 5.