Delannoy number

noun

The number of possible 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.

Ask AI about this wordChatGPTClaudePerplexityGoogle AIGrok

Meanings

nounDelannoy number (plural Delannoy numbers)

plural Delannoy numbers

  1. mathematicsThe number of possible 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.

Origin

Named after French army officer and amateur mathematician Henri Delannoy.

Full word history & related roots →
Cite this entry
APA

Delannoy number. (n.d.). In WatkinsX Dictionary. Retrieved November 4, 2026, from https://dictionary.watkinsx.com/word/Delannoy%20number

MLA

“Delannoy number.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/Delannoy%20number. Accessed November 4, 2026.

Chicago

WatkinsX Dictionary, s.v. “Delannoy number,” accessed November 4, 2026, https://dictionary.watkinsx.com/word/Delannoy%20number.

Source: Delannoy number on Wiktionary, CC BY-SA 4.0.