# Parity of an expression

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• Nov 24th 2010, 09:15 AM
zadir
Parity of an expression
Show that the following expression/sequence is alternately even or odd!

$\lfloor(\sqrt2+1)^n\rfloor$
• Nov 24th 2010, 12:44 PM
Opalg
Hint: Show that $(1+\sqrt2)^n + (1-\sqrt2)^n$ is an integer.