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
-
1193 Solvers
-
485 Solvers
-
238 Solvers
-
Easy Sequences 44: Finding the Smallest Number whose Cube is divisible by a Factorial
4 Solvers
-
Create block matrix of integers (j+k-1) - Part II
85 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!