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Part of 1998 Balkan MO

Problems(1)

Finite sequence - how many distinct terms?

Source: Balkan MO 1998, Problem 1

4/24/2006
Consider the finite sequence ⌊k21998⌋\left\lfloor \frac{k^2}{1998} \right\rfloor, for k=1,2,…,1997k=1,2,\ldots, 1997. How many distinct terms are there in this sequence? Greece
floor functionnumber theory proposednumber theory