MathDB

5

Part of PEN I Problems

Problems(1)

I 5

Source:

5/25/2007
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.
floor function