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    Strange Summation

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    First note that x = Floor(x) + {x}, where {} is the remainder.
    So if x= 2.74, then the floor is 2 + the remainder is .74 .

    f(x)= { 0 if x its a perfect square (like 1,4,9,...)
    { Floor (1/ {sqrt(x)}) otherwise

    So for the otherwise part, say x=2, you have 1/the remainder of sqrt(2), which is 1/.414 = 2.4, then take the floor. So x=2 is 2.

    Find: f(1) + f(2) + f(3) + .... + f(256)

    © BrainMass Inc. brainmass.com October 10, 2019, 3:46 am ad1c9bdddf
    https://brainmass.com/math/discrete-math/solving-strange-summation-434715

    Solution Summary

    A pattern is detected for the strange summation problem embedded here.

    $2.19