MathDB
I 8

Source:

May 25, 2007
floor functioncalculusderivativeinequalities

Problem Statement

Prove that ⌊n3+n+13+n+23⌋=⌊27n+263⌋\lfloor \sqrt[3]{n}+\sqrt[3]{n+1}+\sqrt[3]{n+2}\rfloor =\lfloor \sqrt[3]{27n+26}\rfloor for all positive integers nn.
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