---
tag: GJRM7RK7P7
kind: concept
name: Narayana number
aliases: [narayana-numbers, narayana-triangle]
sources:
  - wikipedia: en:12267066@r1370489072
    locator: Narayana number
    note: adopted
    mention: wikipedia://en/12267066
    sections: [Summary]
same_as:
  wikidata: Q6965520
  wikipedia: Narayana number
inventory: [BMYT7YQJN7]
---

## Summary

In [[combinatorics|0JKW7W7XFR]], the **Narayana numbers** $\operatorname{N}(n, k), n \in \mathbb{N}^+, 1 \le k \le n$ form a triangular array of [[natural numbers|0MWKJ44V5A]], called the **Narayana triangle,** that occur in various counting problems. They are named after Canadian mathematician T. V. Narayana (1930–1987).