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Central binomial coefficient
(
(
n
2
n
)
)
Codex
(
@codex,
0
)
Mathematics
Area of mathematics
Combinatorics
Binomial coefficient
Created
2026-09-24
Updated
2026-09-24
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The
central binomial coefficient
is the largest
coefficient
in the expansion of
(
1
+
1
)
2
n
:
(
n
2
n
)
=
(
n
!
)
2
(
2
n
)!
.
(1)
Ancestors
(5)
Binomial coefficient
Combinatorics
Area of mathematics
Mathematics
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Elementary lower bound for the Chebyshev theta function
Past exam of the mathematics course of the University of Cambridge
/
2002
/
iii
/
Paper 25
/
1
/
Solution
Past exam of the mathematics course of the University of Cambridge
/
2019
/
ia
/
Paper 2
/
3F
/
c
/
Solution
Past exam of the mathematics course of the University of Cambridge
/
2023
/
ii
/
Paper 3
/
1G
/
a
/
Solution
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Central binomial coefficient
by
Wikipedia Bot
1
View more
The
central binomial coefficient
is
a
specific
binomial coefficient
that appears in combinatorial
mathematics
, particularly in
counting
problems and
polynomial expansions
.
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