Partition of Integer into Odd Parts/Table

Table of Integer Partitions

The following table presents a list of the number of ways a positive integer can be partitioned into odd parts for all $n$ from $1$ to $30$.

In the following, $\map p n$ denotes the number of integer partitions into odd parts for $n$.

$\begin{array} {|r|r|}

\hline n & \map p n \\ \hline 1 & 1 \\ 2 & 1 \\ 3 & 2 \\ 4 & 2 \\ 5 & 3 \\ 6 & 4 \\ 7 & 5 \\ 8 & 6 \\ 9 & 8 \\ 10 & 10 \\ 11 & 12 \\ 12 & 15 \\ 13 & 18 \\ 14 & 22 \\ 15 & 27 \\ 16 & 32 \\ 17 & 38 \\ 18 & 46 \\ 19 & 54 \\ 20 & 64 \\ 21 & 76 \\ 22 & 89 \\ 23 & 104 \\ 24 & 122 \\ 25 & 142 \\ 26 & 165 \\ 27 & 192 \\ 28 & 222 \\ 29 & 256 \\ 30 & 296 \\ \hline \end{array}$

This sequence is A000009 in the On-Line Encyclopedia of Integer Sequences (N. J. A. Sloane (Ed.), 2008).

Sources

• 1971: George E. Andrews: Number Theory ... (previous) ... (next): $\text {3-5}$ The Use of Computers in Number Theory: Exercise $9$