Problem 53735. Easy Sequences 58: Curious Prime-Rational Functions
For some prime numbers p and q where , a rational function R, is defined as follows: . Using the output , another rational function K, is defined: . Finaly, using the output , we define the function N: ; where the symbol "", represents the integer part of the decimal expansion of the fraction k .
For example for and : ; ; since , .
And, for and : ; ; since, .
If , and given an integer limit x, write a function that returns a sorted array of all unique values of n that are less than or equal to x.
HINT: Both R and K, are rational functions and expect exact rational fraction outputs. Therefore, please preserve numerators and denominators for R and K, and evaluate decimal expansions only when calculating the output of the function N.
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