MathDB
I 5

Source:

May 25, 2007
floor function

Problem Statement

Find all real numbers α\alpha for which the equality ⌊n+n+α⌋=⌊4n+1⌋\lfloor \sqrt{n}+\sqrt{n+\alpha}\rfloor =\lfloor \sqrt{4n+1}\rfloor holds for all positive integers nn.
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