Integer Partition/Examples/5

Examples of Integer Partitions

The integer $5$ can be partitioned as follows:

$5$
$4 + 1$
$3 + 2$
$3 + 1 + 1$
$2 + 2 + 1$
$2 + 1 + 1 + 1$
$1 + 1 + 1 + 1 + 1$


Sources

  • 1971: George E. Andrews: Number Theory ... (previous) ... (next): $\text {3-5}$ The Use of Computers in Number Theory: Exercise $8$
  • 1997: Donald E. Knuth: The Art of Computer Programming: Volume 1: Fundamental Algorithms (3rd ed.) ... (previous) ... (next): $\S 1.2.1$: Mathematical Induction
  • 2014: Christopher Clapham and James Nicholson: The Concise Oxford Dictionary of Mathematics (5th ed.) ... (previous) ... (next): partition (of a positive integer)