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Spain Mathematical Olympiad
1990 Spain Mathematical Olympiad
3
spain 1990
spain 1990
Source:
October 19, 2012
floor function
algebra
binomial theorem
Problem Statement
Prove that
⌊
(
4
+
1
1
)
n
⌋
\lfloor{(4+\sqrt11)^{n}}\rfloor
⌊
(
4
+
1
1
)
n
⌋
is odd for every natural number n.
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