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2
2006 Combinatorics #2: Compound Sum of Ones
2006 Combinatorics #2: Compound Sum of Ones
Source:
July 31, 2012
Problem Statement
Compute
∑
n
60
=
0
2
∑
n
59
=
0
n
60
⋯
∑
n
2
=
0
n
3
∑
n
1
=
0
n
2
∑
n
0
=
0
n
1
1.
\sum_{n_{60}=0}^2\sum_{n_{59}=0}^{n_{60}}\cdots\sum_{n_2=0}^{n_3}\sum_{n_1=0}^{n_2}\sum_{n_0=0}^{n_1}1.
n
60
=
0
∑
2
n
59
=
0
∑
n
60
⋯
n
2
=
0
∑
n
3
n
1
=
0
∑
n
2
n
0
=
0
∑
n
1
1.
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