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Putnam
1977 Putnam
A4
Putnam 1977 A4
Putnam 1977 A4
Source:
April 7, 2022
college contests
Problem Statement
For
0
<
x
<
1
,
0<x<1,
0
<
x
<
1
,
express
∑
n
=
0
∞
x
2
n
1
−
x
2
n
+
1
\sum_{n=0}^{\infty} \frac{x^{2^n}}{1-x^{2^{n+1}}}
n
=
0
∑
∞
1
−
x
2
n
+
1
x
2
n
as a rational function of
x
.
x.
x
.
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