English Dictionary

Schröder number

名詞

(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.

日本語の意味

数学において、n×nの格子の左下隅（0, 0）から右上隅（n, n）まで、北、北東、東の各一歩の移動を用い、なおかつ左下から右上へ引かれる対角線を越えて上方へ進まないという制約条件下で求められる経路の総数

The Schröder number for n = 4 counts the distinct lattice paths from the southwest corner (0,0) to the northeast corner (4,4) that use only single steps north, northeast, or east and never rise above the southwest–northeast diagonal.

n = 4 のシュレーダー数とは、(0,0) の南西隅から (4,4) の北東隅まで、北・北東・東の一歩だけを使い、南西–北東の対角線を越えないような異なる格子路の数を指します。

意味（1）

(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.

Schröder numbers （ plural ）