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Putnam
1946 Putnam
B5
Putnam 1946 B5
Putnam 1946 B5
Source: Putnam 1946
March 13, 2022
Putnam
ceiling function
Divisibility
Problem Statement
Show that
⌈
(
3
+
1
)
2
n
)
⌉
\lceil (\sqrt{3}+1)^{2n})\rceil
⌈(
3
+
1
)
2
n
)⌉
is divisible by
2
n
+
1
.
2^{n+1}.
2
n
+
1
.
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