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Problems
Contests
National and Regional Contests
Spain Contests
Spain Mathematical Olympiad
1990 Spain Mathematical Olympiad
3
3
Part of
1990 Spain Mathematical Olympiad
Problems
(1)
spain 1990
Source:
10/19/2012
Prove that
⌊
(
4
+
1
1
)
n
⌋
\lfloor{(4+\sqrt11)^{n}}\rfloor
⌊
(
4
+
1
1
)
n
⌋
is odd for every natural number n.
floor function
algebra
binomial theorem