I often find myself using the set $\{1,2,..,k\}$, sometimes on multiple occasions in a sentence. I've been told that $[k]$ is a short notation for this, but have never seen that in use. Could someone refer me to a textbook-like source that uses this notation so that I may cite it.
2026-05-17 18:56:41.1779044201
Notation for the set $\{1,2,..,k\}$
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A very famous textbook using the notation $[n]=\{1,2,\dots,n\}$ is Enumerative Combinatorics (Volume 1) by Richard Stanley. It's in the list of notation at the beginning of the book, and is first used in Example 1.1.16.