About Delannoy number

In mathematics, a Delannoy number 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.

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Facts from Wikidata (CC0). Image by en:User:Robertd via Wikimedia Commons (CC BY-SA 3.0).

Delannoy number

number of paths between grid corners, allowing diagonal steps

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About Delannoy number

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Facts from Wikidata (CC0). Image by en:User:Robertd via Wikimedia Commons (CC BY-SA 3.0).