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

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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Last Solution submitted on Aug 04, 2026

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