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Number of partitions of $n$ into distinct even parts.
Question from my last exam:
Let $r_n$ denote the number of partitions of $n$ into distinct parts. Prove that
$$
\sum_{i=0}^n(-1)^i r_i r_{n-i}
$$
is the number of partitions of $n$ into distinct even ...
- 675
0
votes
1
answer
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How can I prove this equation for my discrete math project?
Is there a way I can prove this? This is part of one of my discrete math classes. I need to prove:
${\displaystyle \prod_{i\geq1} \frac{1}{1-xq^i}} = {\displaystyle \sum_{k\geq0} \frac{x^kq^{k^2}}{(1-...
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