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Putnam
1960 Putnam
B2
B2
Part of
1960 Putnam
Problems
(1)
Putnam 1960 B2
Source: Putnam 1960
6/11/2022
Evaluate the double series
∑
j
=
0
∞
∑
k
=
0
∞
2
−
3
k
−
j
−
(
k
+
j
)
2
.
\sum_{j=0}^{\infty} \sum_{k=0}^{\infty} 2^{-3k -j -(k+j)^{2}}.
j
=
0
∑
∞
k
=
0
∑
∞
2
−
3
k
−
j
−
(
k
+
j
)
2
.
Putnam
infinite series
series