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## Homework Statement

Find a formula for when m [tex]\sum[/tex] k=0 the flooring function of[k

^{1/3}] ,m is a positive integer.

## Homework Equations

n[tex]\prod[/tex] j=m a

_{j}

## The Attempt at a Solution

the flooring function of[k

^{1/3}] = K

the summation of K is [tex]\frac{m(m+1)}{2}[/tex]

There's a table of useful summation formulas in the Discrete Mathematics and Its Application sixth edition textbook pg.157 and that's where I got the summation formula for K. Just plug in m in the formula for the summation of K.