---
tag: R15DNTPZF8
kind: concept
name: Delannoy number
aliases: [central-delannoy-number, delannoy-numbers]
sources:
  - wikipedia: en:14736250@r1321323496
    locator: Delannoy number
    note: adopted
    mention: wikipedia://en/14736250
    sections: [Summary]
same_as:
  wikidata: Q2886564
  wikipedia: Delannoy number
inventory: [NJGBXQPWS9]
---

## Summary

In mathematics, a **Delannoy number** $D$ counts the paths from the southwest corner (0, 0) of a rectangular grid to the northeast corner (*m*, *n*), using only single steps north, northeast, or east. The Delannoy numbers are named after French army officer and amateur mathematician Henri Delannoy.