# Parity of an expression

• November 24th 2010, 10:15 AM
Parity of an expression
Show that the following expression/sequence is alternately even or odd!

$\lfloor(\sqrt2+1)^n\rfloor$
• November 24th 2010, 01:44 PM
Opalg
Hint: Show that $(1+\sqrt2)^n + (1-\sqrt2)^n$ is an integer.