MathDB
Problems
Contests
Undergraduate contests
Putnam
1960 Putnam
B2
Putnam 1960 B2
Putnam 1960 B2
Source: Putnam 1960
June 11, 2022
Putnam
infinite series
series
Problem Statement
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
.
Back to Problems
View on AoPS