Partitions with no 1s
Discrete Mathematics
Level
4
\[ \begin{align} p(17) &= 297 \\ p(18) &= 385 \\ p(19) &= 490 \\ p(20) &= 627 \\ p(21) &= 792 \end{align} \]
Let \( p(n) \) be the number of partitions of an integer \( n\). The values of \(p(17), p(18),p(19),p(20), p(21) \) are as shown above.
How many partitions of 20 are there that do not contain any parts equal to 1?
by
Patrick Corn