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We found one dictionary that defines the word Schröder number:

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  1. Schröder number: Wiktionary

Definitions from Wiktionary (Schröder number)

noun:  (mathematics) 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.

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