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.
Solution Stats
Solution Comments
Show commentsProblem Recent Solvers5
Suggested Problems
-
34 Solvers
-
I've got the power! (Inspired by Project Euler problem 29)
141 Solvers
-
5774 Solvers
-
Compute the arithmetic derivative of integers
26 Solvers
-
Easy Sequences 1: Find the index of an element
50 Solvers
More from this Author116
Problem Tags
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!