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Chisinau City MO
1949-56 Chisinau City MO
52
Chisinau MO p52 1949-56 X 4^n < (2n+1)C_{2n}^n
Chisinau MO p52 1949-56 X 4^n < (2n+1)C_{2n}^n
Source:
March 15, 2021
combinatorics
algebra
inequalities
Problem Statement
Prove that for any natural number
n
n
n
the following inequality holds
4
n
<
(
2
n
+
1
)
C
2
n
n
4^n < (2n+1)C_{2n}^n
4
n
<
(
2
n
+
1
)
C
2
n
n
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