Problem 58274. Easy Sequences 116: Summation involving nthroot, floor, and ceiling functions

• Created by Ramon Villamangca

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Given a postive integers x and n, we are asked to evaluate the following summation:

where: the symbol "" and "" are the floor and ceil functions, respectively.

For example, if and , we have:

>> S = @(x,n) sum(arrayfun(@(i) ceil(nthroot(i-1,n))+floor(nthroot(i+1,n)),1:x));

>> s = S(50,3)

>> s =

279

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Solution Stats

100.0% Correct | 0.0% Incorrect

• 3 Solutions
• 2 Solvers

Last Solution submitted on May 16, 2023

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