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39
2000 Guts #39: Hypergeometric series
2000 Guts #39: Hypergeometric series
Source:
October 25, 2014
Problem Statement
If
x
=
1
3
x=\frac{1}{3}
x
=
3
1
, what is the value, rounded to
100
100
100
decimal digits, of
∑
n
=
0
7
2
n
1
+
x
2
n
\sum_{n=0}^{7}\frac{2^n}{1+x^{2^n}}
∑
n
=
0
7
1
+
x
2
n
2
n
?
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