Schröder number

noun

The number of possible lattice paths from the southwest corner (0, 0) of an n × n grid to the northeast corner (n, n), using only single steps north, northeast or east, and not rising above the southwest–northeast diagonal.

Ask AI about this wordChatGPTClaudePerplexityGoogle AIGrok

Meanings

nounSchröder number (plural Schröder numbers)

plural Schröder numbers

  1. mathematicsThe number of possible lattice paths from the southwest corner (0, 0) of an n × n grid to the northeast corner (n, n), using only single steps north, northeast or east, and not rising above the southwest–northeast diagonal.

Origin

Named after the German mathematician Ernst Schröder.

Full word history & related roots →
Cite this entry
APA

Schröder number. (n.d.). In WatkinsX Dictionary. Retrieved November 5, 2026, from https://dictionary.watkinsx.com/word/Schr%C3%B6der%20number

MLA

“Schröder number.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/Schr%C3%B6der%20number. Accessed November 5, 2026.

Chicago

WatkinsX Dictionary, s.v. “Schröder number,” accessed November 5, 2026, https://dictionary.watkinsx.com/word/Schr%C3%B6der%20number.

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