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1994 Turkey MO (2nd round)
1
Turkish MO 1994 P1
Turkish MO 1994 P1
Source: Turkish Mathematical Olympiad 2nd Round 1994
September 27, 2006
algebra unsolved
algebra
Problem Statement
For
n
∈
N
n\in\mathbb{N}
n
∈
N
, let
a
n
a_{n}
a
n
denote the closest integer to
n
\sqrt{n}
n
. Evaluate
∑
n
=
1
∞
1
a
n
3
.
\sum_{n=1}^\infty{\frac{1}{a_{n}^{3}}}.
n
=
1
∑
∞
a
n
3
1
.
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